diff --git a/test/node/redirects.js b/test/node/redirects.js
index 7dff60fe8..2ff8e8edc 100644
--- a/test/node/redirects.js
+++ b/test/node/redirects.js
@@ -71,6 +71,20 @@ describe('request', () => {
       });
     });
 
+    it('should overwrite previously set cookie during a redirect when agent is used', (done) => {
+      const agent = request.agent();
+      agent.get(`${base}/set-cookie`).end((error) => {
+        assert.ifError(error);
+        agent
+          .get(`${base}/cookie-redirect`)
+          .redirects(1)
+          .end((error, res) => {
+            assert.ifError(error);
+            assert(/replaced=yes/.test(res.text), 'replaced=yes');
+          });
+      });
+    })
+
     it('should follow Location', (done) => {
       const redirects = [];
 
diff --git a/test/support/server.js b/test/support/server.js
index 159da2753..a219c0d15 100644
--- a/test/support/server.js
+++ b/test/support/server.js
@@ -419,6 +419,7 @@ app.get('/cookie-redirect', (request, res) => {
 });
 
 app.get('/set-cookie', (request, res) => {
+  res.cookie('replaced', 'no')
   res.cookie('persist', '123');
   res.send('ok');
 });