diff --git a/.github/workflows/ci-tests.yml b/.github/workflows/ci-tests.yml
index 37f0d86cd..ada617419 100644
--- a/.github/workflows/ci-tests.yml
+++ b/.github/workflows/ci-tests.yml
@@ -20,6 +20,7 @@ jobs:
                     - "3.10"
                     - "3.11"
                     - "3.12"
+                    - "3.13-dev"
                     - "pypy-3.8"
                 os:
                     - "ubuntu-20.04"
diff --git a/setup.py b/setup.py
index 08e44d2fa..4ab7c4fda 100644
--- a/setup.py
+++ b/setup.py
@@ -39,6 +39,7 @@ def readfile(name):
 tests_require = [
     'webtest >= 1.3.1',  # py3 compat
     'zope.component >= 4.0',  # py3 compat
+    'legacy-cgi;python_version>="3.13"',  # needed by webob, Pylons/webob#437
 ]
 
 docs_extras = [
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):
diff --git a/tox.ini b/tox.ini
index ff962a935..832eaefa4 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,7 +1,7 @@
 [tox]
 envlist =
     lint,
-    py38,py39,py310,py311,py312,pypy3,
+    py38,py39,py310,py311,py312,py313,pypy3,
     py312-cover,coverage,
     docs