diff --git a/.azure-pipelines-steps.yml b/.azure-pipelines-steps.yml
index 573a5f650397..ca30fe83d8c4 100644
--- a/.azure-pipelines-steps.yml
+++ b/.azure-pipelines-steps.yml
@@ -6,11 +6,11 @@ steps:
   - checkout: self
     path: jest
 
-  # Ensure Node.js 12 is active
+  # Ensure Node.js 14 is active
   - task: NodeTool@0
     inputs:
-      versionSpec: '12.x'
-    displayName: 'Use Node.js 12'
+      versionSpec: '14.x'
+    displayName: 'Use Node.js 14'
 
   # Ensure Python 2.7 is active
   - task: UsePythonVersion@0
@@ -27,7 +27,7 @@ steps:
       path: $(yarnCache.folder)
     displayName: Cache Yarn packages
 
-  - script: yarn install
+  - script: yarn install --immutable
     displayName: 'Install dependencies'
 
   - script: yarn build:js
diff --git a/.circleci/config.yml b/.circleci/config.yml
index c1df85935a23..778bfd690351 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -4,7 +4,7 @@ aliases:
       ignore: gh-pages
   - &install
     pkg-manager: yarn
-    override-ci-command: yarn install && yarn build:js
+    override-ci-command: yarn install --immutable && yarn build:js
     cache-path: ~/.yarn/berry/cache
     include-branch-in-cache-key: false
     app-dir: ~/jest
@@ -51,7 +51,7 @@ jobs:
           install-npm: false
       - node/install-packages: *install
       - run:
-          command: yarn test-ci
+          command: yarn test-ci-partial
       - store_test_results:
           path: reports/junit
 
@@ -79,7 +79,7 @@ jobs:
           install-npm: false
       - node/install-packages: *install
       - run:
-          command: yarn test-ci-partial
+          command: yarn test-ci
       - store_test_results:
           path: reports/junit
 
diff --git a/.circleci/website.sh b/.circleci/website.sh
index b20b2d567c59..01dfb8aa6af1 100755
--- a/.circleci/website.sh
+++ b/.circleci/website.sh
@@ -13,7 +13,7 @@ else
         git config --global user.name "Website Deployment Script"
         echo "machine github.com login docusaurus-bot password $DOCUSAURUS_PUBLISH_TOKEN" > ~/.netrc
         # install Docusaurus and generate file of English strings
-        yarn && cd website && node fetchSupporters.js && yarn write-translations
+        yarn --immutable && cd website && node fetchSupporters.js && yarn write-translations
         # crowdin install
         sudo apt-get update
         sudo apt-get install default-jre rsync
@@ -30,6 +30,6 @@ else
         GIT_USER=docusaurus-bot USE_SSH=false yarn publish-gh-pages
     else
         echo "Skipping deploy. Test website build"
-        cd website && yarn && node fetchSupporters.js && yarn build
+        yarn --immutable && cd website && node fetchSupporters.js && yarn build
     fi
 fi
diff --git a/.github/workflows/nodejs.yml b/.github/workflows/nodejs.yml
index 2cdf9ab3b869..e8be810c51c9 100644
--- a/.github/workflows/nodejs.yml
+++ b/.github/workflows/nodejs.yml
@@ -36,7 +36,7 @@ jobs:
         with:
           node-version: 12.x
       - name: install
-        run: yarn
+        run: yarn --immutable
       - name: build
         run: yarn build
       - name: test typings
@@ -80,7 +80,7 @@ jobs:
         with:
           node-version: ${{ matrix.node-version }}
       - name: install
-        run: yarn
+        run: yarn --immutable
       - name: build
         run: yarn build:js
       - name: Get number of CPU cores
diff --git a/e2e/Utils.ts b/e2e/Utils.ts
index c8d20585e834..e91c4df6fc0f 100644
--- a/e2e/Utils.ts
+++ b/e2e/Utils.ts
@@ -44,15 +44,20 @@ export const run = (
   return result;
 };
 
-export const runYarn = (cwd: Config.Path, env?: Record<string, string>) => {
+export const runYarnInstall = (
+  cwd: Config.Path,
+  env?: Record<string, string>,
+) => {
   const lockfilePath = path.resolve(cwd, 'yarn.lock');
+  let exists = true;
 
   // If the lockfile doesn't exist, yarn's project detection is confused. Just creating an empty file works
   if (!fs.existsSync(lockfilePath)) {
+    exists = false;
     fs.writeFileSync(lockfilePath, '');
   }
 
-  return run('yarn', cwd, env);
+  return run(exists ? 'yarn install --immutable' : 'yarn install', cwd, env);
 };
 
 export const linkJestPackage = (packageName: string, cwd: Config.Path) => {
diff --git a/e2e/__tests__/asyncRegenerator.test.ts b/e2e/__tests__/asyncRegenerator.test.ts
index cbad304f0256..684ef69b179a 100644
--- a/e2e/__tests__/asyncRegenerator.test.ts
+++ b/e2e/__tests__/asyncRegenerator.test.ts
@@ -6,13 +6,13 @@
  */
 
 import * as path from 'path';
-import {runYarn} from '../Utils';
+import {runYarnInstall} from '../Utils';
 import {json as runWithJson} from '../runJest';
 
 const dir = path.resolve(__dirname, '../async-regenerator');
 
 beforeEach(() => {
-  runYarn(dir);
+  runYarnInstall(dir);
 });
 
 test('successfully transpiles async', () => {
diff --git a/e2e/__tests__/babelPluginJestHoist.test.ts b/e2e/__tests__/babelPluginJestHoist.test.ts
index 31f0d62326d6..c47a2546859c 100644
--- a/e2e/__tests__/babelPluginJestHoist.test.ts
+++ b/e2e/__tests__/babelPluginJestHoist.test.ts
@@ -6,13 +6,13 @@
  */
 
 import * as path from 'path';
-import {runYarn} from '../Utils';
+import {runYarnInstall} from '../Utils';
 import {json as runWithJson} from '../runJest';
 
 const DIR = path.resolve(__dirname, '..', 'babel-plugin-jest-hoist');
 
 beforeEach(() => {
-  runYarn(DIR);
+  runYarnInstall(DIR);
 });
 
 it('successfully runs the tests inside `babel-plugin-jest-hoist/`', () => {
diff --git a/e2e/__tests__/chaiAssertionLibrary.ts b/e2e/__tests__/chaiAssertionLibrary.ts
index 9cad190a4353..8d7b77d0086f 100644
--- a/e2e/__tests__/chaiAssertionLibrary.ts
+++ b/e2e/__tests__/chaiAssertionLibrary.ts
@@ -7,12 +7,12 @@
 
 import * as path from 'path';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 test('chai assertion errors should display properly', () => {
   const dir = path.resolve(__dirname, '../chai-assertion-library-errors');
-  runYarn(dir);
+  runYarnInstall(dir);
 
   const {stderr} = runJest('chai-assertion-library-errors');
   const {rest} = extractSummary(stderr);
diff --git a/e2e/__tests__/console.test.ts b/e2e/__tests__/console.test.ts
index b83ef9f70229..0030d2a4eff1 100644
--- a/e2e/__tests__/console.test.ts
+++ b/e2e/__tests__/console.test.ts
@@ -7,7 +7,7 @@
 
 import * as path from 'path';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 test('console printing', () => {
@@ -99,7 +99,7 @@ test('the jsdom console is the same as the test console', () => {
 
 test('does not error out when using winston', () => {
   const dir = path.resolve(__dirname, '../console-winston');
-  runYarn(dir);
+  runYarnInstall(dir);
   const {stderr, stdout, exitCode} = runJest(dir);
   const {summary, rest} = extractSummary(stderr);
 
diff --git a/e2e/__tests__/coverageHandlebars.test.ts b/e2e/__tests__/coverageHandlebars.test.ts
index 2c30ba13601f..3a1cf3be05c7 100644
--- a/e2e/__tests__/coverageHandlebars.test.ts
+++ b/e2e/__tests__/coverageHandlebars.test.ts
@@ -8,7 +8,7 @@
 import * as path from 'path';
 import {readFileSync} from 'graceful-fs';
 import wrap from 'jest-snapshot-serializer-raw';
-import {cleanup, runYarn} from '../Utils';
+import {cleanup, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '../coverage-handlebars');
@@ -19,7 +19,7 @@ beforeAll(() => {
 });
 
 it('code coverage for Handlebars', () => {
-  runYarn(dir);
+  runYarnInstall(dir);
   const result = runJest(dir, ['--coverage', '--no-cache']);
 
   expect(result.exitCode).toBe(0);
diff --git a/e2e/__tests__/coverageRemapping.test.ts b/e2e/__tests__/coverageRemapping.test.ts
index 6312ddbdf726..7830ee8a7876 100644
--- a/e2e/__tests__/coverageRemapping.test.ts
+++ b/e2e/__tests__/coverageRemapping.test.ts
@@ -7,7 +7,7 @@
 
 import * as path from 'path';
 import {readFileSync} from 'graceful-fs';
-import {cleanup, runYarn} from '../Utils';
+import {cleanup, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '../coverage-remapping');
@@ -18,7 +18,7 @@ beforeAll(() => {
 });
 
 it('maps code coverage against original source', () => {
-  runYarn(dir);
+  runYarnInstall(dir);
   const result = runJest(dir, ['--coverage', '--no-cache']);
 
   expect(result.exitCode).toBe(0);
diff --git a/e2e/__tests__/coverageReport.test.ts b/e2e/__tests__/coverageReport.test.ts
index 9ab9a82d3cfd..b268c60d2d16 100644
--- a/e2e/__tests__/coverageReport.test.ts
+++ b/e2e/__tests__/coverageReport.test.ts
@@ -8,13 +8,13 @@
 import * as path from 'path';
 import * as fs from 'graceful-fs';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const DIR = path.resolve(__dirname, '../coverage-report');
 
 beforeAll(() => {
-  runYarn(DIR);
+  runYarnInstall(DIR);
 });
 
 test('outputs coverage report', () => {
diff --git a/e2e/__tests__/coverageTransformInstrumented.test.ts b/e2e/__tests__/coverageTransformInstrumented.test.ts
index d9002375d2a4..7e7898959769 100644
--- a/e2e/__tests__/coverageTransformInstrumented.test.ts
+++ b/e2e/__tests__/coverageTransformInstrumented.test.ts
@@ -7,7 +7,7 @@
 
 import * as path from 'path';
 import {readFileSync} from 'graceful-fs';
-import {cleanup, runYarn} from '../Utils';
+import {cleanup, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '../coverage-transform-instrumented');
@@ -18,7 +18,7 @@ beforeAll(() => {
 });
 
 it('code coverage for transform instrumented code', () => {
-  runYarn(dir);
+  runYarnInstall(dir);
   const result = runJest(dir, ['--coverage', '--no-cache']);
 
   expect(result.exitCode).toBe(0);
diff --git a/e2e/__tests__/expectAsyncMatcher.test.ts b/e2e/__tests__/expectAsyncMatcher.test.ts
index e8c71ae418b2..f9b19723dcd5 100644
--- a/e2e/__tests__/expectAsyncMatcher.test.ts
+++ b/e2e/__tests__/expectAsyncMatcher.test.ts
@@ -7,13 +7,13 @@
 
 import * as path from 'path';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '../expect-async-matcher');
 
 beforeAll(() => {
-  runYarn(dir);
+  runYarnInstall(dir);
 });
 
 test('works with passing tests', () => {
diff --git a/e2e/__tests__/failures.test.ts b/e2e/__tests__/failures.test.ts
index f0e2c906712b..48c96cc974b3 100644
--- a/e2e/__tests__/failures.test.ts
+++ b/e2e/__tests__/failures.test.ts
@@ -7,7 +7,7 @@
 
 import * as path from 'path';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '../failures');
@@ -24,7 +24,7 @@ function cleanStderr(stderr: string) {
 const nodeMajorVersion = Number(process.versions.node.split('.')[0]);
 
 beforeAll(() => {
-  runYarn(dir);
+  runYarnInstall(dir);
 });
 
 test('not throwing Error objects', () => {
diff --git a/e2e/__tests__/globalSetup.test.ts b/e2e/__tests__/globalSetup.test.ts
index a37e5063808b..a7b993b4ba84 100644
--- a/e2e/__tests__/globalSetup.test.ts
+++ b/e2e/__tests__/globalSetup.test.ts
@@ -8,7 +8,7 @@
 import {tmpdir} from 'os';
 import * as path from 'path';
 import * as fs from 'graceful-fs';
-import {cleanup, runYarn} from '../Utils';
+import {cleanup, runYarnInstall} from '../Utils';
 import runJest, {json as runWithJson} from '../runJest';
 
 const DIR = path.join(tmpdir(), 'jest-global-setup');
@@ -22,7 +22,7 @@ const nodeModulesDIR = path.join(tmpdir(), 'jest-global-setup-node-modules');
 const e2eDir = path.resolve(__dirname, '../global-setup');
 
 beforeAll(() => {
-  runYarn(e2eDir);
+  runYarnInstall(e2eDir);
 });
 
 beforeEach(() => {
diff --git a/e2e/__tests__/globalTeardown.test.ts b/e2e/__tests__/globalTeardown.test.ts
index 1d1b229e5474..a3947ef1c337 100644
--- a/e2e/__tests__/globalTeardown.test.ts
+++ b/e2e/__tests__/globalTeardown.test.ts
@@ -9,7 +9,7 @@ import {tmpdir} from 'os';
 import * as path from 'path';
 import * as fs from 'graceful-fs';
 import {createDirectory} from 'jest-util';
-import {cleanup, runYarn} from '../Utils';
+import {cleanup, runYarnInstall} from '../Utils';
 import runJest, {json as runWithJson} from '../runJest';
 
 const DIR = path.join(tmpdir(), 'jest-global-teardown');
@@ -18,7 +18,7 @@ const project2DIR = path.join(tmpdir(), 'jest-global-teardown-project-2');
 const e2eDir = path.resolve(__dirname, '../global-teardown');
 
 beforeAll(() => {
-  runYarn(e2eDir);
+  runYarnInstall(e2eDir);
 });
 
 beforeEach(() => {
diff --git a/e2e/__tests__/nativeAsyncMock.test.ts b/e2e/__tests__/nativeAsyncMock.test.ts
index dcd321d03358..e0e43cb1d02e 100644
--- a/e2e/__tests__/nativeAsyncMock.test.ts
+++ b/e2e/__tests__/nativeAsyncMock.test.ts
@@ -6,7 +6,7 @@
  */
 
 import * as path from 'path';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 const dir = path.resolve(__dirname, '..', 'native-async-mock');
@@ -16,7 +16,7 @@ test('mocks async functions', () => {
     return;
   }
 
-  runYarn(dir);
+  runYarnInstall(dir);
 
   // --no-cache because babel can cache stuff and result in false green
   const {stderr} = runJest(dir, ['--no-cache']);
diff --git a/e2e/__tests__/pnp.test.ts b/e2e/__tests__/pnp.test.ts
index 9c419592ce07..89918a4f3b41 100644
--- a/e2e/__tests__/pnp.test.ts
+++ b/e2e/__tests__/pnp.test.ts
@@ -6,13 +6,13 @@
  */
 
 import * as path from 'path';
-import {runYarn} from '../Utils';
+import {runYarnInstall} from '../Utils';
 import {json as runWithJson} from '../runJest';
 
 const DIR = path.resolve(__dirname, '..', 'pnp');
 
 beforeEach(() => {
-  runYarn(DIR, {YARN_NODE_LINKER: 'pnp'});
+  runYarnInstall(DIR, {YARN_NODE_LINKER: 'pnp'});
 });
 
 it('successfully runs the tests inside `pnp/`', () => {
diff --git a/e2e/__tests__/stackTraceSourceMaps.test.ts b/e2e/__tests__/stackTraceSourceMaps.test.ts
index be0f05d663fc..2f689ce37bd3 100644
--- a/e2e/__tests__/stackTraceSourceMaps.test.ts
+++ b/e2e/__tests__/stackTraceSourceMaps.test.ts
@@ -6,12 +6,12 @@
  */
 
 import * as path from 'path';
-import {runYarn} from '../Utils';
+import {runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 it('processes stack traces and code frames with source maps', () => {
   const dir = path.resolve(__dirname, '../stack-trace-source-maps');
-  runYarn(dir);
+  runYarnInstall(dir);
   const {stderr} = runJest(dir, ['--no-cache']);
   expect(stderr).toMatch('> 15 |   (() => expect(false).toBe(true))();');
   expect(stderr).toMatch(`at __tests__/fails.ts:15:24
diff --git a/e2e/__tests__/stackTraceSourceMapsWithCoverage.test.ts b/e2e/__tests__/stackTraceSourceMapsWithCoverage.test.ts
index 8a1b3f207b44..192ad7103909 100644
--- a/e2e/__tests__/stackTraceSourceMapsWithCoverage.test.ts
+++ b/e2e/__tests__/stackTraceSourceMapsWithCoverage.test.ts
@@ -6,7 +6,7 @@
  */
 import * as path from 'path';
 import wrap from 'jest-snapshot-serializer-raw';
-import {extractSummary, runYarn} from '../Utils';
+import {extractSummary, runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 it('processes stack traces and code frames with source maps with coverage', () => {
@@ -14,7 +14,7 @@ it('processes stack traces and code frames with source maps with coverage', () =
     __dirname,
     '../stack-trace-source-maps-with-coverage',
   );
-  runYarn(dir);
+  runYarnInstall(dir);
   const {stderr} = runJest(dir, ['--no-cache', '--coverage']);
 
   // Should report an error at source line 13 in lib.ts at line 10 of the test
diff --git a/e2e/__tests__/transform.test.ts b/e2e/__tests__/transform.test.ts
index db68750b7d86..c906f94333ca 100644
--- a/e2e/__tests__/transform.test.ts
+++ b/e2e/__tests__/transform.test.ts
@@ -14,7 +14,7 @@ import {
   createEmptyPackage,
   extractSummary,
   linkJestPackage,
-  runYarn,
+  runYarnInstall,
 } from '../Utils';
 import runJest, {json as runWithJson} from '../runJest';
 
@@ -22,7 +22,7 @@ describe('babel-jest', () => {
   const dir = path.resolve(__dirname, '..', 'transform/babel-jest');
 
   beforeEach(() => {
-    runYarn(dir);
+    runYarnInstall(dir);
   });
 
   it('runs transpiled code', () => {
@@ -59,7 +59,7 @@ describe('babel-jest with manual transformer', () => {
   const dir = path.resolve(__dirname, '..', 'transform/babel-jest-manual');
 
   beforeEach(() => {
-    runYarn(dir);
+    runYarnInstall(dir);
   });
 
   it('runs transpiled code', () => {
@@ -133,7 +133,7 @@ describe('multiple-transformers', () => {
   const dir = path.resolve(__dirname, '..', 'transform/multiple-transformers');
 
   beforeEach(() => {
-    runYarn(dir);
+    runYarnInstall(dir);
   });
 
   it('transforms dependencies using specific transformers', () => {
@@ -164,7 +164,7 @@ describe('transformer-config', () => {
   const dir = path.resolve(__dirname, '..', 'transform/transformer-config');
 
   beforeEach(() => {
-    runYarn(dir);
+    runYarnInstall(dir);
   });
 
   it('runs transpiled code', () => {
diff --git a/e2e/__tests__/typescriptCoverage.test.ts b/e2e/__tests__/typescriptCoverage.test.ts
index 2fdd327d31fc..f22e76c209f1 100644
--- a/e2e/__tests__/typescriptCoverage.test.ts
+++ b/e2e/__tests__/typescriptCoverage.test.ts
@@ -7,12 +7,12 @@
 
 import * as path from 'path';
 import {wrap} from 'jest-snapshot-serializer-raw';
-import {runYarn} from '../Utils';
+import {runYarnInstall} from '../Utils';
 import runJest from '../runJest';
 
 it('instruments and collects coverage for typescript files', () => {
   const dir = path.resolve(__dirname, '../typescript-coverage');
-  runYarn(dir);
+  runYarnInstall(dir);
   const {stdout} = runJest(dir, ['--coverage', '--no-cache'], {
     stripAnsi: true,
   });