diff --git a/discord/gateway.py b/discord/gateway.py
index 7a765405af..47d4853a65 100644
--- a/discord/gateway.py
+++ b/discord/gateway.py
@@ -587,7 +587,16 @@ def latency(self) -> float:
 
     def _can_handle_close(self):
         code = self._close_code or self.socket.close_code
-        return code not in (1000, 4004, 4010, 4011, 4012, 4013, 4014)
+        is_improper_close = self._close_code is None and self.socket.close_code == 1000
+        return is_improper_close or code not in (
+            1000,
+            4004,
+            4010,
+            4011,
+            4012,
+            4013,
+            4014,
+        )
 
     async def poll_event(self):
         """Polls for a DISPATCH event and handles the general gateway loop.