diff --git a/tests/test_connect.py b/tests/test_connect.py
index afad614a..686bed18 100644
--- a/tests/test_connect.py
+++ b/tests/test_connect.py
@@ -54,7 +54,8 @@ async def handle_client(self):
     with pytest.raises(SMTPConnectError):
         await smtp_client.connect()
 
-    smtp_client.close()
+    assert smtp_client.transport is None
+    assert smtp_client.protocol is None
 
 
 async def test_421_closes_connection(
diff --git a/tests/test_timeouts.py b/tests/test_timeouts.py
index 0177833d..7bb8b49c 100644
--- a/tests/test_timeouts.py
+++ b/tests/test_timeouts.py
@@ -48,6 +48,9 @@ async def test_timeout_error_on_connect(
     with pytest.raises(SMTPTimeoutError):
         await smtp_client.connect(timeout=0.01)
 
+    assert smtp_client.transport is None
+    assert smtp_client.protocol is None
+
 
 async def test_timeout_on_initial_read(
     smtp_client, smtpd_server, smtpd_class, event_loop, monkeypatch