diff --git a/Lib/test/test_typing.py b/Lib/test/test_typing.py
index e61f8828f54..8d024514fcb 100644
--- a/Lib/test/test_typing.py
+++ b/Lib/test/test_typing.py
@@ -523,6 +523,10 @@ class BaseCallableTests:
         # Shouldn't crash; see https://github.com/python/typing/issues/259
         typing.List[Callable[..., str]]
 
+    def test_or_and_ror(self):
+        Callable = self.Callable
+        self.assertEqual(Callable | Tuple, Union[Callable, Tuple])
+        self.assertEqual(Tuple | Callable, Union[Tuple, Callable])
 
     def test_basic(self):
         Callable = self.Callable
@@ -3906,6 +3910,10 @@ class CollectionsAbcTests(BaseTestCase):
         A.register(B)
         self.assertIsSubclass(B, typing.Mapping)
 
+    def test_or_and_ror(self):
+        self.assertEqual(typing.Sized | typing.Awaitable, Union[typing.Sized, typing.Awaitable])
+        self.assertEqual(typing.Coroutine | typing.Hashable, Union[typing.Coroutine, typing.Hashable])
+
 
 class OtherABCTests(BaseTestCase):