diff --git a/tests/test_exceptions.py b/tests/test_exceptions.py
index 47214a702..921540194 100644
--- a/tests/test_exceptions.py
+++ b/tests/test_exceptions.py
@@ -79,6 +79,7 @@ def test_cross_module_exceptions(msg):
     "env.MACOS and env.PYPY",
     raises=RuntimeError,
     reason="See Issue #2847, PR #2999, PR #4324",
+    strict=not env.PYPY,  # PR 5569
 )
 def test_cross_module_exception_translator():
     with pytest.raises(KeyError):