diff --git a/.github/workflows/pythonpackage.yml b/.github/workflows/pythonpackage.yml
index c73530cf..95d6b187 100644
--- a/.github/workflows/pythonpackage.yml
+++ b/.github/workflows/pythonpackage.yml
@@ -1,36 +1,41 @@
 name: Python package
 
 on: [push, pull_request]
 
 jobs:
   build:
 
     runs-on: ${{ matrix.os }}
     strategy:
       matrix:
         os: [ubuntu-latest, macos-latest, windows-latest]
         python-version: [3.6, 3.7, 3.8, pypy3]
       fail-fast: false
 
     steps:
     - uses: actions/checkout@v2
     - name: Set up Python ${{ matrix.python-version }}
       uses: actions/setup-python@v2
       with:
         python-version: ${{ matrix.python-version }}
     - name: Install dependencies
       run: |
         python -m pip install --upgrade pip
-        pip install -U pip coverage codecov flake8 fastimport mypy
+        pip install -U pip coverage codecov flake8 fastimport
+    - name: Install mypy
+      run: |
+        pip install -U mypy
+      if: 'matrix.python-version != "pypy3"'
     - name: Style checks
       run: |
         python -m flake8
     - name: Typing checks
       run: |
         python -m mypy dulwich
+      if: 'matrix.python-version != "pypy3"'
     - name: Build
       run: |
         python setup.py build_ext -i
     - name: Coverage test suite run
       run: |
         python -m coverage run -p -m unittest dulwich.tests.test_suite