diff --git a/Lib/test/test_inspect/test_inspect.py b/Lib/test/test_inspect/test_inspect.py
index 33eae8505d5d24..bfafb0ce90cfc4 100644
--- a/Lib/test/test_inspect/test_inspect.py
+++ b/Lib/test/test_inspect/test_inspect.py
@@ -4733,19 +4733,14 @@ def test_builtins_have_signatures(self):
         # These have unrepresentable parameter default values of NULL
         needs_null = {"anext"}
         no_signature |= needs_null
-        # These need PEP 457 groups or a signature change to accept None
-        needs_semantic_update = {"round"}
-        no_signature |= needs_semantic_update
         # These need *args support in Argument Clinic
-        needs_varargs = {"breakpoint", "min", "max", "print",
-                         "__build_class__"}
+        needs_varargs = {"breakpoint", "min", "max", "__build_class__"}
         no_signature |= needs_varargs
-        # These simply weren't covered in the initial AC conversion
-        # for builtin callables
-        not_converted_yet = {"open", "__import__"}
-        no_signature |= not_converted_yet
         # These builtin types are expected to provide introspection info
-        types_with_signatures = set()
+        types_with_signatures = {
+            'complex', 'enumerate', 'float', 'list', 'memoryview', 'object',
+            'property', 'reversed', 'tuple',
+        }
         # Check the signatures we expect to be there
         ns = vars(builtins)
         for name, obj in sorted(ns.items()):
@@ -4764,9 +4759,9 @@ def test_builtins_have_signatures(self):
         # This ensures this test will start failing as more signatures are
         # added, so the affected items can be moved into the scope of the
         # regression test above
-        for name in no_signature:
+        for name in no_signature - needs_null:
             with self.subTest(builtin=name):
-                self.assertIsNone(obj.__text_signature__)
+                self.assertIsNone(ns[name].__text_signature__)
 
     def test_python_function_override_signature(self):
         def func(*args, **kwargs):