diff --git a/src/socketio/async_client.py b/src/socketio/async_client.py
index 5fd8daaf..f3a6b845 100644
--- a/src/socketio/async_client.py
+++ b/src/socketio/async_client.py
@@ -578,7 +578,7 @@ async def _handle_eio_disconnect(self):
         self.callbacks = {}
         self._binary_packet = None
         self.sid = None
-        if will_reconnect:
+        if will_reconnect and not self._reconnect_task:
             self._reconnect_task = self.start_background_task(
                 self._handle_reconnect)