diff --git a/test/test_database.py b/test/test_database.py
index c46e40bda3..d3229e0814 100644
--- a/test/test_database.py
+++ b/test/test_database.py
@@ -691,6 +691,8 @@ def test_new_user_cmds(self):
         self.assertEqual(amalia_user["user"], "amalia")
         self.assertEqual(amalia_user["customData"], {"secret": "koalas"})
 
+
+    @client_context.require_version_max(5, 99, 99)
     @client_context.require_auth
     @ignore_deprecations
     def test_authenticate_multiple(self):
diff --git a/test/test_session.py b/test/test_session.py
index 4df60f48e4..e56c50cc53 100644
--- a/test/test_session.py
+++ b/test/test_session.py
@@ -1137,6 +1137,7 @@ def setUp(self):
         self.addCleanup(client_context.drop_user, "pymongo_test", "second-user")
 
     @ignore_deprecations
+    @client_context.require_version_max(5, 99, 99)
     def test_session_authenticate_multiple(self):
         listener = SessionTestListener()
         # Logged in as root.