--- a/numba/tests/test_hashing.py
+++ b/numba/tests/test_hashing.py
@@ -21,6 +21,7 @@
 from numba.cpython.unicode import compile_time_get_string_data
 from numba.cpython import hashing
 
+from numba import platform
 
 def hash_usecase(x):
     return hash(x)
@@ -247,6 +248,7 @@
             tuples = [split(a) for a in values]
             self.check_hash_values(tuples)
 
+    @unittest.skipIf(platform.architecture()[0]=='32bit', reason="64-bit integers required by test are not supported on 32-bit systems")
     def test_homogeneous_tuples(self):
         typ = np.uint64
 
@@ -278,6 +280,7 @@
         self.check_hash_values([(7,), (0,), (0, 0), (0.5,),
                                 (0.5, (7,), (-2, 3, (4, 6)))])
 
+    @unittest.skipIf(platform.architecture()[0]=='32bit', reason="64-bit integers required by test are not supported on 32-bit systems")
     def test_heterogeneous_tuples(self):
         modulo = 2**63