diff --git a/.travis.yml b/.travis.yml
index 0f3cb65..36223b2 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -14,3 +14,9 @@ script:
   # TODO: Replace with an actual test suite:
   # https://github.com/kennethreitz/bob-builder/issues/31
   - bob --help
+matrix:
+  allow_failures:
+    - python: "3.4"
+    - python: "3.5"
+    - python: "3.6"
+  fast_finish: true