diff --git a/Lib/test/test_int.py b/Lib/test/test_int.py
index e0406dd4f9d..225b520d567 100644
--- a/Lib/test/test_int.py
+++ b/Lib/test/test_int.py
@@ -100,10 +100,6 @@ class IntTestCases(unittest.TestCase):
         self.assertRaises(ValueError, int, "0b", 2)
         self.assertRaises(ValueError, int, "0b", 0)
 
-        # Bug #3236: Return small longs from PyLong_FromString
-        self.assertTrue(int("10") is 10)
-        self.assertTrue(int("-1") is -1)
-
         # SF bug 1334662: int(string, base) wrong answers
         # Various representations of 2**32 evaluated to 0
         # rather than 2**32 in previous versions
@@ -221,6 +217,14 @@ class IntTestCases(unittest.TestCase):
         self.assertEqual(int('2br45qc', 35), 4294967297)
         self.assertEqual(int('1z141z5', 36), 4294967297)
 
+    @support.cpython_only
+    def test_small_ints(self):
+        # Bug #3236: Return small longs from PyLong_FromString
+        self.assertIs(int('10'), 10)
+        self.assertIs(int('-1'), -1)
+        self.assertIs(int(b'10'), 10)
+        self.assertIs(int(b'-1'), -1)
+
     def test_no_args(self):
         self.assertEquals(int(), 0)