diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 64296294b..f38fd9150 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -22,7 +22,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "pypy-2.7", "pypy-3.7"]
+        python-version: ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "pypy-2.7", "pypy-3.7", "pypy-3.8"]
 
     steps:
       - uses: actions/checkout@v2
diff --git a/changelog.d/892.change.rst b/changelog.d/892.change.rst
new file mode 100644
index 000000000..aa2ebcbc9
--- /dev/null
+++ b/changelog.d/892.change.rst
@@ -0,0 +1 @@
+Fixed the test suite on PyPy3.8 where cloudpickle does not work.
diff --git a/setup.py b/setup.py
index ce0419f11..00e7b012a 100644
--- a/setup.py
+++ b/setup.py
@@ -50,7 +50,7 @@
     "docs": ["furo", "sphinx", "zope.interface", "sphinx-notfound-page"],
     "tests_no_zope": [
         # For regression test to ensure cloudpickle compat doesn't break.
-        "cloudpickle",
+        'cloudpickle; python_implementation == "CPython"',
         # 5.0 introduced toml; parallel was broken until 5.0.2
         "coverage[toml]>=5.0.2",
         "hypothesis",
diff --git a/tests/test_3rd_party.py b/tests/test_3rd_party.py
index 1de6b335f..8866d7f6e 100644
--- a/tests/test_3rd_party.py
+++ b/tests/test_3rd_party.py
@@ -4,13 +4,16 @@
 Tests for compatibility against other Python modules.
 """
 
-import cloudpickle
+import pytest
 
 from hypothesis import given
 
 from .strategies import simple_classes
 
 
+cloudpickle = pytest.importorskip("cloudpickle")
+
+
 class TestCloudpickleCompat(object):
     """
     Tests for compatibility with ``cloudpickle``.