diff --git a/Lib/test/test_bz2.py b/Lib/test/test_bz2.py
index 3b7897b8a88a45..32ce04b0f90cfe 100644
--- a/Lib/test/test_bz2.py
+++ b/Lib/test/test_bz2.py
@@ -72,7 +72,9 @@ class BaseTest(unittest.TestCase):
     # simply use the bigger test data for all tests.
     test_size = 0
     BIG_TEXT = bytearray(128*1024)
-    for fname in glob.glob(os.path.join(glob.escape(os.path.dirname(__file__)), '*.py')):
+    _files = sorted(glob.glob(os.path.join(glob.escape(os.path.dirname(__file__)), '*.py')))
+    random.Random(555).shuffle(_files)
+    for fname in _files:
         with open(fname, 'rb') as fh:
             test_size += fh.readinto(memoryview(BIG_TEXT)[test_size:])
         if test_size > 128*1024: