diff --git a/Lib/test/test_asyncgen.py b/Lib/test/test_asyncgen.py
index f6184c0cab4694..0421efdbf9dac9 100644
--- a/Lib/test/test_asyncgen.py
+++ b/Lib/test/test_asyncgen.py
@@ -378,6 +378,19 @@ async def async_gen_wrapper():
 
         self.compare_generators(sync_gen_wrapper(), async_gen_wrapper())
 
+    def test_async_gen_exception_12(self):
+        async def gen():
+            await anext(me)
+            yield 123
+
+        me = gen()
+        ai = me.__aiter__()
+        an = ai.__anext__()
+
+        with self.assertRaisesRegex(RuntimeError,
+                r'anext\(\): asynchronous generator is already running'):
+            an.__next__()
+
     def test_async_gen_3_arg_deprecation_warning(self):
         async def gen():
             yield 123