diff --git a/Pillow-fixtests.patch b/Pillow-fixtests.patch
new file mode 100644
index 0000000..27b3b8e
--- /dev/null
+++ b/Pillow-fixtests.patch
@@ -0,0 +1,17 @@
+diff --git a/Tests/test_file_webp_alpha.py b/Tests/test_file_webp_alpha.py
+index 22c5c09..f316b71 100644
+--- a/Tests/test_file_webp_alpha.py
++++ b/Tests/test_file_webp_alpha.py
+@@ -83,7 +83,11 @@ class TestFileWebpAlpha(PillowTestCase):
+         image.load()
+         image.getdata()
+ 
+-        self.assert_image_similar(image, pil_image, 1.0)
++        # early versions of webp are known to produce higher deviations: deal with it
++        if _webp.WebPDecoderVersion(self) <= 0x201:
++            self.assert_image_similar(image, pil_image, 3.0)
++        else:
++            self.assert_image_similar(image, pil_image, 1.0)
+ 
+ 
+ if __name__ == '__main__':
diff --git a/python-Pillow.changes b/python-Pillow.changes
index 3d35afc..2b51e3c 100644
--- a/python-Pillow.changes
+++ b/python-Pillow.changes
@@ -1,3 +1,9 @@
+-------------------------------------------------------------------
+Fri Feb  6 08:25:34 UTC 2015 - hpj@urpla.net
+
+- fix test for lossy webp alpha deviation of earlier lib versions
+  * Add Pillow-fixtests.patch 
+
 -------------------------------------------------------------------
 Thu Jan  8 10:55:04 UTC 2015 - tbechtold@suse.com
 
diff --git a/python-Pillow.spec b/python-Pillow.spec
index 20f9b1d..dd8f03f 100644
--- a/python-Pillow.spec
+++ b/python-Pillow.spec
@@ -24,6 +24,7 @@ License:        HPND
 Group:          Development/Languages/Python
 Url:            http://python-imaging.github.io/
 Source:         https://pypi.python.org/packages/source/P/Pillow/Pillow-%{version}.tar.gz
+Patch:          Pillow-fixtests.patch
 BuildRequires:  python-devel
 BuildRequires:  python-setuptools
 BuildRequires:  python-tk
@@ -85,6 +86,7 @@ Python Imaging Library by Fredrik Lundh and Contributors.
 
 %prep
 %setup -q -n Pillow-%{version}
+%patch -p1
 
 %build
 python setup.py build