diff --git a/tests/test_connection.py b/tests/test_connection.py
index c79ee7b735..0a5b9c15d9 100644
--- a/tests/test_connection.py
+++ b/tests/test_connection.py
@@ -1,4 +1,5 @@
 import copy
+import platform
 import socket
 import threading
 import types
@@ -448,6 +449,9 @@ def test_clears_cache_on_disconnect(self, mock_connection, cache_conf):
 
         assert len(cache.get_collection()) == 0
 
+    @pytest.mark.skipif(
+        platform.python_implementation() == "PyPy", reason="Pypy doesn't support side_effect"
+    )
     def test_read_response_returns_cached_reply(self, mock_cache, mock_connection):
         mock_connection.retry = "mock"
         mock_connection.host = "mock"
@@ -526,6 +530,9 @@ def test_read_response_returns_cached_reply(self, mock_cache, mock_connection):
             ]
         )
 
+    @pytest.mark.skipif(
+        platform.python_implementation() == "PyPy", reason="Pypy doesn't support side_effect"
+    )
     def test_triggers_invalidation_processing_on_another_connection(
         self, mock_cache, mock_connection
     ):