diff --git a/Lib/test/test_bytes.py b/Lib/test/test_bytes.py
index 6604b1e..2873bea 100644
--- a/Lib/test/test_bytes.py
+++ b/Lib/test/test_bytes.py
@@ -213,7 +213,7 @@
             self.assertRaises(TypeError, lambda: 3.14 * b)
             # XXX Shouldn't bytes and bytearray agree on what to raise?
             self.assertRaises((OverflowError, MemoryError),
-                              lambda: b * sys.maxint)
+                              lambda: b * sys.maxsize)
 
     def test_repeat_1char(self):
         self.assertEqual(self.type2test(b'x')*100, self.type2test([ord('x')]*100))
diff --git a/Lib/test/test_list.py b/Lib/test/test_list.py
index 336baec..167293a 100644
--- a/Lib/test/test_list.py
+++ b/Lib/test/test_list.py
@@ -15,7 +15,7 @@
         self.assertEqual(list(''), [])
         self.assertEqual(list('spam'), ['s', 'p', 'a', 'm'])
 
-        if sys.maxint == 0x7fffffff:
+        if sys.maxsize == 0x7fffffff:
             # This test can currently only work on 32-bit machines.
             # XXX If/when PySequence_Length() returns a ssize_t, it should be
             # XXX re-enabled.
diff --git a/Lib/test/test_struct.py b/Lib/test/test_struct.py
index 5e4f0cc..ec4a2db 100644
--- a/Lib/test/test_struct.py
+++ b/Lib/test/test_struct.py
@@ -8,7 +8,7 @@
 
 import sys
 ISBIGENDIAN = sys.byteorder == "big"
-IS32BIT = sys.maxint == 0x7fffffff
+IS32BIT = sys.maxsize == 0x7fffffff
 del sys
 
 try: