diff --git a/requirements.txt b/requirements.txt
index fb874c550..b2929145e 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -21,7 +21,7 @@ langcodes>=3.2.0,<4.0.0
 # Official Python utilities
 setuptools
 packaging>=20.0
-typing_extensions>=3.7.4.1,<4.0.0.0; python_version < "3.8"
+typing_extensions>=3.7.4.1,<4.2.0; python_version < "3.8"
 # Development dependencies
 pre-commit>=2.13.0
 cython>=0.25,<3.0
diff --git a/setup.cfg b/setup.cfg
index 7e252d62a..c6036a8b3 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -61,7 +61,7 @@ install_requires =
     # Official Python utilities
     setuptools
     packaging>=20.0
-    typing_extensions>=3.7.4,<4.0.0.0; python_version < "3.8"
+    typing_extensions>=3.7.4,<4.2.0; python_version < "3.8"
     langcodes>=3.2.0,<4.0.0
 
 [options.entry_points]