diff --git a/.travis.yml b/.travis.yml
index b6118c46..aadbd972 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,66 +1,68 @@
 language: python
 sudo: false
 cache: pip
 
 
 python:
   - 3.5
   - 3.6
   - 3.7
   - 3.8
-  - pypy3
 
 env:
   - PYTHONHASHSEED=random
     TEST_REQUIRE="gevent greenlet geventhttpclient fastimport"
+    TYPING_REQUIRE=mypy
     PURE=false
 
 matrix:
   include:
     - python: 3.7
       env: TEST_REQUIRE=fastimport
       dist: xenial
       sudo: true
     - python: 3.8
       env: TEST_REQUIRE=fastimport
       dist: xenial
       sudo: true
     - python: 3.8
       env: TEST_REQUIRE=fastimport
       dist: xenial
       sudo: true
     - python: 3.6
       env: PURE=true
+    - python: pypy3
+      env: MYPY_REQUIRE=
 
 install:
-  - travis_retry pip install -U pip coverage codecov flake8 mypy $TEST_REQUIRE
+  - travis_retry pip install -U pip coverage codecov flake8 $TYPING_REQUIRE $TEST_REQUIRE
 
 script:
   - if [ $PURE = false ]; then python setup.py build_ext -i; fi
   - python -m coverage run -p -m unittest dulwich.tests.test_suite
 
   # Style
   - make style
-  - make typing
+  - if [ $MYPY_REQUIRE != "" ]; then make typing; fi
 
   - if [ $PURE = true ]; then SETUP_ARGS=--pure; fi
   - python setup.py $SETUP_ARGS bdist_wheel
 
 after_success:
   - python -m coverage combine
   - codecov
 
 deploy:
   provider: pypi
   user: dulwich-bot
   password:
     secure: Q8DDDojBugQWzXvmmEQiU90UkVPk+OYoFZwv1H9LYpQ4u5CfwQNWpf8qXYhlGMdr/gzWaSWsqLvgWLpzfkvqS4Vyk2bO9mr+dSskfD8uwc82LiiL9CNd/NY03CjH9RaFgVMD/+exMjY/yCtlyH1jL4kjgOyNnC+x4B37CliZHcE=
   skip_cleanup: true
   skip_existing: true
   file_glob: true
   file:
     - dist/dulwich*.whl
     - dist/dulwich*.tar.gz
   on:
     tags: true
     repo: dulwich/dulwich