diff --git a/Lib/asyncio/events.py b/Lib/asyncio/events.py
index 4c0cbb09176..dd9e3fb4299 100644
--- a/Lib/asyncio/events.py
+++ b/Lib/asyncio/events.py
@@ -19,6 +19,8 @@
 class Handle:
     """Object returned by callback registration methods."""
 
+    __slots__ = ['_callback', '_args', '_cancelled']
+
     def __init__(self, callback, args):
         assert not isinstance(callback, Handle), 'A Handle is not a callback'
         self._callback = callback
@@ -46,6 +48,8 @@ def _run(self):
 class TimerHandle(Handle):
     """Object returned by timed callback registration methods."""
 
+    __slots__ = ['_when']
+
     def __init__(self, when, callback, args):
         assert when is not None
         super().__init__(callback, args)