diff --git a/oauthenticator/tests/test_google.py b/oauthenticator/tests/test_google.py
index 4c3a9e0c..d2782e06 100644
--- a/oauthenticator/tests/test_google.py
+++ b/oauthenticator/tests/test_google.py
@@ -3,6 +3,7 @@
 import logging
 import re
 from unittest import mock
+from unittest.mock import AsyncMock
 
 from pytest import fixture, mark, raises
 from traitlets.config import Config
@@ -380,3 +381,33 @@ async def test_deprecated_config(
 
     expected_log_tuple = (test_logger.name, expect_loglevel, expect_message)
     assert expected_log_tuple in captured_log_tuples
+
+
+@mark.asyncio
+async def test_nested_group_memberships():
+    mock_fetch_member_groups = AsyncMock(
+        return_value={'group1', 'nested_group1', 'nested_group2'}
+    )
+
+    authenticator = GoogleOAuthenticator()
+    authenticator._fetch_member_groups = mock_fetch_member_groups
+
+    user_info = {'name': 'testuser', 'email': 'testuser@example.com'}
+
+    result = await authenticator._fetch_member_groups(user_info['email'], 'example.com')
+    assert 'nested_group1' in result
+    assert 'nested_group2' in result
+
+
+@mark.asyncio
+async def test_user_not_in_nested_group():
+    mock_fetch_member_groups = AsyncMock(return_value={'group1', 'group2'})
+
+    authenticator = GoogleOAuthenticator()
+    authenticator._fetch_member_groups = mock_fetch_member_groups
+
+    user_info = {'name': 'testuser', 'email': 'testuser@example.com'}
+
+    result = await authenticator._fetch_member_groups(user_info['email'], 'example.com')
+    assert 'nested_group1' not in result
+    assert 'nested_group2' not in result