diff --git a/Lib/asyncio/selector_events.py b/Lib/asyncio/selector_events.py
index 59cb6b1babec54d..5e8359e4adab49f 100644
--- a/Lib/asyncio/selector_events.py
+++ b/Lib/asyncio/selector_events.py
@@ -1032,7 +1032,7 @@ def sendto(self, data, addr=None):
         if not isinstance(data, (bytes, bytearray, memoryview)):
             raise TypeError(f'data argument must be a bytes-like object, '
                             f'not {type(data).__name__!r}')
-        if not data:
+        if self._closing or not data:
             return
 
         if self._address: