diff --git a/Lib/test/test_exception_group.py b/Lib/test/test_exception_group.py
index 7fb45462e20f..a61af067cb2a 100644
--- a/Lib/test/test_exception_group.py
+++ b/Lib/test/test_exception_group.py
@@ -103,6 +103,20 @@ class MyEG(BaseExceptionGroup, ValueError):
         with self.assertRaisesRegex(TypeError, msg):
             MyEG("eg", [ValueError(12), KeyboardInterrupt(42)])
 
+    def test_EG_and_specific_subclass_can_wrap_any_nonbase_exception(self):
+        class MyEG(ExceptionGroup, ValueError):
+            pass
+
+        # The restriction is specific to Exception, not "the other base class"
+        MyEG("eg", [ValueError(12), Exception()])
+
+    def test_BEG_and_specific_subclass_can_wrap_any_nonbase_exception(self):
+        class MyEG(BaseExceptionGroup, ValueError):
+            pass
+
+        # The restriction is specific to Exception, not "the other base class"
+        MyEG("eg", [ValueError(12), Exception()])
+
 
     def test_BEG_subclass_wraps_anything(self):
         class MyBEG(BaseExceptionGroup):