diff --git a/.github/workflows/testing.yml b/.github/workflows/testing.yml
index 14778882..ac5e2557 100644
--- a/.github/workflows/testing.yml
+++ b/.github/workflows/testing.yml
@@ -29,7 +29,7 @@ jobs:
     strategy:
       matrix:
         os: [ubuntu-latest, windows-latest, macos-latest]
-        python_version: ["3.8", "3.9", "3.10", "3.11", "3.12", "3.13", "3.14", "pypy-3.9"]
+        python_version: ["3.8", "3.9", "3.10", "3.11", "3.12", "3.13", "3.14", "pypy-3.12"]
         exclude:
           # Do not test all minor versions on all platforms, especially if they
           # are not the oldest/newest supported versions
@@ -37,13 +37,13 @@ jobs:
             python_version: 3.8
             # as of  4/02/2020, psutil won't build under PyPy + Windows
           - os: windows-latest
-            python_version: "pypy-3.9"
+            python_version: "pypy-3.12"
           - os: macos-latest
             python_version: 3.8
           - os: macos-latest
             # numpy triggers: RuntimeError: Polyfit sanity test emitted a
             # warning
-            python_version: "pypy-3.9"
+            python_version: "pypy-3.12"
 
     runs-on: ${{ matrix.os }}
 
diff --git a/cloudpickle/cloudpickle.py b/cloudpickle/cloudpickle.py
index 08882306..7ac3bf61 100644
--- a/cloudpickle/cloudpickle.py
+++ b/cloudpickle/cloudpickle.py
@@ -1339,7 +1339,7 @@ def __init__(self, file, protocol=None, buffer_callback=None):
         self.globals_ref = {}
         self.proto = int(protocol)
 
-    if not PYPY:
+    if not hasattr(pickle.Pickler, "dispatch"):
         # pickle.Pickler is the C implementation of the CPython pickler and
         # therefore we rely on reduce_override method to customize the pickler
         # behavior.