diff --git a/tests/keras_contrib/layers/test_normalization.py b/tests/keras_contrib/layers/test_normalization.py
index d63929e..1c74a04 100644
--- a/tests/keras_contrib/layers/test_normalization.py
+++ b/tests/keras_contrib/layers/test_normalization.py
@@ -188,7 +188,7 @@ def test_instancenorm_perchannel_correctness():
         for channel in range(3):
             activations = out[instance, channel]
             assert abs(activations.mean()) > 1e-2
-            assert abs(activations.std() - 1.0) > 1e-1
+            assert abs(activations.std() - 1.0) > 1e-6
 
         # but values are still normalized per-instance
         activations = out[instance]