diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index a8360ddd2703..b80c297308fa 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -80,6 +80,11 @@ jobs:
           arch: x64
           os: ubuntu-latest
           toxenv: type
+        - name: Type check our own code (with PyPy)
+          python: 'pypy-3.8'
+          arch: x64
+          os: ubuntu-latest
+          toxenv: type-pypy
         - name: Code style with flake8
           python: '3.7'
           arch: x64
diff --git a/tox.ini b/tox.ini
index ac7cdc72fdb7..507636c12762 100644
--- a/tox.ini
+++ b/tox.ini
@@ -53,6 +53,14 @@ commands =
     python -m mypy --config-file mypy_self_check.ini -p mypy -p mypyc
     python -m mypy --config-file mypy_self_check.ini misc/proper_plugin.py scripts/mypyc
 
+
+[testenv:type-pypy]
+description = type check ourselves
+basepython = pypy3
+deps = -rmypy-requirements.txt
+commands =
+    python -m mypy --config-file mypy_self_check.ini -p mypy
+
 [testenv:docs]
 description = invoke sphinx-build to build the HTML docs
 basepython = python3.7