diff --git a/testing/requirements.txt b/testing/requirements.txt
index 515751256..3bbf78a15 100644
--- a/testing/requirements.txt
+++ b/testing/requirements.txt
@@ -10,7 +10,9 @@ pytest-localserver
 pyu2f
 requests
 urllib3
-cryptography <41.0.8
+# See https://github.com/googleapis/google-auth-library-python/issues/1440
+cryptography < 39.0.0; python_version == '3.7'
+cryptography; python_version >= '3.8'
 responses
 grpcio
 # Async Dependencies