diff --git a/Lib/test/test_capi/test_hash.py b/Lib/test/test_capi/test_hash.py
index 574ff3dd3206c76..ace822ffafec213 100644
--- a/Lib/test/test_capi/test_hash.py
+++ b/Lib/test/test_capi/test_hash.py
@@ -5,7 +5,8 @@
 _testcapi = import_helper.import_module('_testcapi')
 
 
-SIZEOF_PY_HASH_T = _testcapi.SIZEOF_VOID_P
+SIZEOF_VOID_P = _testcapi.SIZEOF_VOID_P
+SIZEOF_PY_HASH_T = SIZEOF_VOID_P
 
 
 class CAPITest(unittest.TestCase):
@@ -83,7 +84,7 @@ def test_hash_pointer(self):
         # Test PyHash_Pointer()
         hash_pointer = _testcapi.hash_pointer
 
-        HASH_BITS = 8 * _testcapi.SIZEOF_VOID_P
+        HASH_BITS = 8 * SIZEOF_VOID_P
         UHASH_T_MASK = ((2 ** HASH_BITS) - 1)
         HASH_T_MAX = (2 ** (HASH_BITS - 1) - 1)
         MAX_PTR = UHASH_T_MASK
@@ -99,9 +100,17 @@ def uhash_to_hash(x):
         # Known values
         self.assertEqual(hash_pointer(0), 0)
         self.assertEqual(hash_pointer(MAX_PTR), -2)
-        self.assertEqual(hash_pointer(0xABCDEF1234567890),
-                         0x0ABCDEF123456789)
-        self.assertEqual(hash_pointer(0x1234567890ABCDEF),
-                         uhash_to_hash(0xF1234567890ABCDE))
-        self.assertEqual(hash_pointer(0xFEE4ABEDD1CECA5E),
-                         uhash_to_hash(0xEFEE4ABEDD1CECA5))
+        if SIZEOF_VOID_P > 4:
+            self.assertEqual(hash_pointer(0xABCDEF1234567890),
+                             0x0ABCDEF123456789)
+            self.assertEqual(hash_pointer(0x1234567890ABCDEF),
+                             uhash_to_hash(0xF1234567890ABCDE))
+            self.assertEqual(hash_pointer(0xFEE4ABEDD1CECA5E),
+                             uhash_to_hash(0xEFEE4ABEDD1CECA5))
+        else:
+            self.assertEqual(hash_pointer(0x12345678),
+                             uhash_to_hash(0x81234567))
+            self.assertEqual(hash_pointer(0x1234ABCD),
+                             uhash_to_hash(0xD1234ABC))
+            self.assertEqual(hash_pointer(0xDEADCAFE),
+                             uhash_to_hash(0xEDEADCAF))