--- a/tests/test_normal.py
+++ b/tests/test_normal.py
@@ -5,6 +5,7 @@ Just to make sure the plugin doesn't cho
     Yay, doctests!
 
 """
+import platform
 import sys  # noqa
 import time
 from functools import partial
@@ -20,7 +21,10 @@ def test_fast(benchmark):
     assert result is None
 
     if not benchmark.disabled:
-        assert benchmark.stats.stats.min >= 0.000001
+        if '32' in platform.architecture()[0]:
+            assert benchmark.stats.stats.min >= 0.0000001
+        else:
+            assert benchmark.stats.stats.min >= 0.000001
 
 
 def test_slow(benchmark):