diff --git a/tests/queue_runner_test.py b/tests/queue_runner_test.py
index 91269eb..a9f18a1 100644
--- a/tests/queue_runner_test.py
+++ b/tests/queue_runner_test.py
@@ -28,7 +28,9 @@ def path_maildir(tmpdir):
     return _path_maildir
 
 
-@pytest.mark.skipIf(sys.implementation.name == 'pypy', reason='"time-machine" does not work on PyPy')
+IS_PYPY3 = (sys.version_info >= (3, 0)) and (sys.implementation.name == 'pypy')
+
+@pytest.mark.skipIf(IS_PYPY3, reason='"time-machine" does not work on PyPy')
 # https://github.com/adamchainz/time-machine/issues/305
 def test_can_move_stale_messages_back_to_new(path_maildir):
     mailer = DebugMailer()