diff --git a/Lib/test/_test_multiprocessing.py b/Lib/test/_test_multiprocessing.py
index e02a6209bee8d28..e9446ff138170bf 100644
--- a/Lib/test/_test_multiprocessing.py
+++ b/Lib/test/_test_multiprocessing.py
@@ -4148,9 +4148,9 @@ def test_shared_memory_SharedMemoryManager_named_objects(self):
         shm_name = 'test_named_shared_memory'
         sl_name = 'test_named_sharable_list'
         with multiprocessing.managers.SharedMemoryManager() as smm:
-            shm = smm.SharedMemory(size=5, name=shm_name)
+            shm = smm.SharedMemory(size=32, name=shm_name)
             doppleganger_shm = shared_memory.SharedMemory(name=shm_name)
-            self.assertEqual(len(doppleganger_shm.buf), 5)
+            self.assertGreaterEqual(len(doppleganger_shm.buf), 32)
             sl = smm.ShareableList(range(5), name=sl_name)
             doppleganger_sl = shared_memory.ShareableList(name=sl_name)
             self.assertEqual(len(doppleganger_sl), 5)