diff --git a/tests/test_util.py b/tests/test_util.py
index bf4c08988..f2c1c8975 100644
--- a/tests/test_util.py
+++ b/tests/test_util.py
@@ -1,5 +1,6 @@
 import sys
 import unittest
+import pytest
 
 from pyramid.util import bytes_, text_
 
@@ -65,6 +66,10 @@ def worker(obj):
         self.assertEqual(2, foo.x)
         self.assertEqual(1, foo.y)
 
+    @pytest.mark.skipif(
+        sys.version_info > (3, 13),
+        reason="Python 3.13 assigns a __name__ to an inner function",
+    )
     def test_property_without_name(self):
         def worker(obj):  # pragma: no cover
             pass
@@ -270,6 +275,10 @@ def worker(obj):
         self.assertEqual(2, foo.x)
         self.assertEqual(1, foo.y)
 
+    @pytest.mark.skipif(
+        sys.version_info > (3, 13),
+        reason="Python 3.13 assigns a __name__ to an inner function",
+    )
     def test_property_without_name(self):
         def worker(obj):  # pragma: no cover
             pass