diff --git a/src/pyramid/util.py b/src/pyramid/util.py
index c71528a49..3fe72bf6f 100644
--- a/src/pyramid/util.py
+++ b/src/pyramid/util.py
@@ -110,7 +110,8 @@ def make_property(cls, callable, name=None, reify=False):
         if name is None:
             if not hasattr(callable, '__name__'):
                 raise ValueError(
-                    'missing __name__, must specify "name" for property'
+                    'missing __name__, must specify "name" for property '
+                    'on Python < 3.13'
                 )
             name = callable.__name__
         name = get_callable_name(name)
diff --git a/tests/test_util.py b/tests/test_util.py
index bf4c08988..ae313844e 100644
--- a/tests/test_util.py
+++ b/tests/test_util.py
@@ -67,13 +67,21 @@ def worker(obj):
 
     def test_property_without_name(self):
         def worker(obj):  # pragma: no cover
-            pass
+            return obj.bar
 
         foo = Dummy()
         helper = self._getTargetClass()
-        self.assertRaises(
-            ValueError, helper.set_property, foo, property(worker)
-        )
+        if sys.version_info < (3, 13):
+            self.assertRaises(
+                ValueError, helper.set_property, foo, property(worker)
+            )
+        else:
+            # Since Python 3.13, the name of the property is automatic
+            helper.set_property(foo, property(worker))
+            foo.bar = 1
+            self.assertEqual(1, foo.worker)
+            foo.bar = 2
+            self.assertEqual(2, foo.worker)
 
     def test_property_with_name(self):
         def worker(obj):
@@ -272,10 +280,18 @@ def worker(obj):
 
     def test_property_without_name(self):
         def worker(obj):  # pragma: no cover
-            pass
+            return obj.bar
 
         foo = self._makeOne()
-        self.assertRaises(ValueError, foo.set_property, property(worker))
+        if sys.version_info < (3, 13):
+            self.assertRaises(ValueError, foo.set_property, property(worker))
+        else:
+            # Since Python 3.13, the name of the property is automatic
+            foo.set_property(property(worker))
+            foo.bar = 1
+            self.assertEqual(1, foo.worker)
+            foo.bar = 2
+            self.assertEqual(2, foo.worker)
 
     def test_property_with_name(self):
         def worker(obj):