diff --git a/appveyor.yml b/appveyor.yml
index 855561e69..d28146402 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -25,9 +25,3 @@ install:
 
 test_script:
     - "%PYTHON%/Scripts/tox.exe -e %TOX_ENV%"
-
-# Allow all failures for now: the tests don't yet pass!
-matrix:
-    allow_failures:
-        - TOX_ENV: py34-test
-        - TOX_ENV: py35-test