diff --git a/Lib/test/test_asyncgen.py b/Lib/test/test_asyncgen.py
index 4f00558770dafd..a49630112af510 100644
--- a/Lib/test/test_asyncgen.py
+++ b/Lib/test/test_asyncgen.py
@@ -1058,8 +1058,7 @@ async def gen():
                 while True:
                     yield 1
             finally:
-                await asyncio.sleep(0.01)
-                await asyncio.sleep(0.01)
+                await asyncio.sleep(0)
                 DONE = 1
 
         async def run():
@@ -1069,7 +1068,10 @@ async def run():
             del g
             gc_collect()  # For PyPy or other GCs.
 
-            await asyncio.sleep(0.1)
+            # Starts running the aclose task
+            await asyncio.sleep(0)
+            # For asyncio.sleep(0) in finally block
+            await asyncio.sleep(0)
 
         self.loop.run_until_complete(run())
         self.assertEqual(DONE, 1)