diff --git a/Lib/test/test_functools.py b/Lib/test/test_functools.py
index af19ef7fec7..562cb8237de 100644
--- a/Lib/test/test_functools.py
+++ b/Lib/test/test_functools.py
@@ -259,7 +259,7 @@ class TestWraps(TestUpdateWrapper):
         self.assertEqual(wrapper.__name__, 'f')
         self.assertEqual(wrapper.attr, 'This is also a test')
 
-    @unittest.skipIf(not sys.flags.optimize <= 1,
+    @unittest.skipIf(sys.flags.optimize >= 2,
                      "Docstrings are omitted with -O2 and above")
     def test_default_update_doc(self):
         wrapper = self._default_update()
diff --git a/Lib/test/test_property.py b/Lib/test/test_property.py
index e5fc1745a0f..e5a029b7ea7 100644
--- a/Lib/test/test_property.py
+++ b/Lib/test/test_property.py
@@ -163,7 +163,7 @@ class PropertySubclassTests(unittest.TestCase):
             Foo.spam.__doc__,
             "spam wrapped in property subclass")
 
-    @unittest.skipIf(sys.flags.optimize <= 2,
+    @unittest.skipIf(sys.flags.optimize >= 2,
                      "Docstrings are omitted with -O2 and above")
     def test_property_setter_copies_getter_docstring(self):
         class Foo(object):
@@ -196,7 +196,7 @@ class PropertySubclassTests(unittest.TestCase):
             FooSub.spam.__doc__,
             "spam wrapped in property subclass")
 
-    @unittest.skipIf(sys.flags.optimize <= 2,
+    @unittest.skipIf(sys.flags.optimize >= 2,
                      "Docstrings are omitted with -O2 and above")
     def test_property_new_getter_new_docstring(self):