diff --git a/requirements-formats.txt b/requirements-formats.txt
index 045f30f0..c37c4fb1 100644
--- a/requirements-formats.txt
+++ b/requirements-formats.txt
@@ -1,15 +1,13 @@
-Cython<0.29.21,>=0.29.13
-numpy<=1.19.2,>=1.16.4 ; python_version < '3.10'
-numpy ; python_version >= '3.10'
-numexpr<=2.7.1,>=2.6.9
-intervaltree==3.0.2
-lxml==4.6.5
-openpyxl==2.6.2
-pandas<=1.1.2,>=0.24.2 ; python_version < '3.9'
-pandas ; python_version >= '3.9'
+Cython
+numpy
+numexpr
+intervaltree>=3.0.2
+lxml>=4.6.5
+openpyxl>=2.6.2
+pandas
 tables
-Whoosh==2.7.4
-xlrd==2.0.1
-xlwt==1.3.0
+Whoosh>=2.7.4
+xlrd>=2.0.1
+xlwt>=1.3.0
 fastavro>=0.24.2 ; python_version >= '3.4'
 fastavro==0.24.2 ; python_version < '3.0'
diff --git a/requirements-tests.txt b/requirements-tests.txt
index 15bc0ea0..754c2757 100644
--- a/requirements-tests.txt
+++ b/requirements-tests.txt
@@ -1,7 +1,7 @@
 wheel
 setuptools
-pytest-cov==2.12.0
-pytest<7.0.0
+pytest-cov>=2.12.0
+pytest>=4.6.6,<7.0.0
 tox
 coveralls
 coverage