diff --git a/docs/news.rst b/docs/news.rst
index 97d7b656..585136ed 100644
--- a/docs/news.rst
+++ b/docs/news.rst
@@ -5,6 +5,8 @@ Release Notes
 
 - Added full support of the build tag syntax to ``wheel tags`` (you can now set a build
   tag like ``123mytag``)
+- Fix warning on Python 3.12 about ``onerror`` deprecation. (PR by Henry Schreiner)
+- Support testing on Python 3.12 betas (PR by Ewout ter Hoeven)
 
 **0.40.0 (2023-03-14)**
 
diff --git a/src/wheel/bdist_wheel.py b/src/wheel/bdist_wheel.py
index cb9c19f2..e3b85dda 100644
--- a/src/wheel/bdist_wheel.py
+++ b/src/wheel/bdist_wheel.py
@@ -131,7 +131,11 @@ def safer_version(version):
 
 
 def remove_readonly(func, path, excinfo):
-    print(str(excinfo[1]))
+    remove_readonly_exc(func, path, excinfo[1])
+
+
+def remove_readonly_exc(func, path, exc):
+    print(str(exc))
     os.chmod(path, stat.S_IWRITE)
     func(path)
 
@@ -416,7 +420,10 @@ def run(self):
         if not self.keep_temp:
             log.info(f"removing {self.bdist_dir}")
             if not self.dry_run:
-                rmtree(self.bdist_dir, onerror=remove_readonly)
+                if sys.version_info < (3, 12):
+                    rmtree(self.bdist_dir, onerror=remove_readonly)
+                else:
+                    rmtree(self.bdist_dir, onexc=remove_readonly_exc)
 
     def write_wheelfile(
         self, wheelfile_base, generator="bdist_wheel (" + wheel_version + ")"
diff --git a/tests/test_bdist_wheel.py b/tests/test_bdist_wheel.py
index d32a1fb5..46f5fd8a 100644
--- a/tests/test_bdist_wheel.py
+++ b/tests/test_bdist_wheel.py
@@ -6,11 +6,17 @@
 import subprocess
 import sys
 import sysconfig
+from unittest.mock import Mock
 from zipfile import ZipFile
 
 import pytest
 
-from wheel.bdist_wheel import bdist_wheel, get_abi_tag
+from wheel.bdist_wheel import (
+    bdist_wheel,
+    get_abi_tag,
+    remove_readonly,
+    remove_readonly_exc,
+)
 from wheel.vendored.packaging import tags
 from wheel.wheelfile import WheelFile
 
@@ -296,3 +302,28 @@ def test_platform_with_space(dummy_dist, monkeypatch):
     subprocess.check_call(
         [sys.executable, "setup.py", "bdist_wheel", "--plat-name", "isilon onefs"]
     )
+
+
+def test_rmtree_readonly(monkeypatch, tmp_path):
+    """Verify onerr works as expected"""
+
+    bdist_dir = tmp_path / "with_readonly"
+    bdist_dir.mkdir()
+    some_file = bdist_dir.joinpath("file.txt")
+    some_file.touch()
+    some_file.chmod(stat.S_IREAD)
+
+    if sys.version_info < (3, 12):
+        count_remove_readonly = Mock(side_effect=remove_readonly)
+        shutil.rmtree(bdist_dir, onerror=count_remove_readonly)
+        assert count_remove_readonly.call_count == (
+            1 if sys.platform.startswith("win") else 0
+        )
+    else:
+        count_remove_readonly_exc = Mock(side_effect=remove_readonly_exc)
+        shutil.rmtree(bdist_dir, onexc=count_remove_readonly_exc)
+        assert count_remove_readonly_exc.call_count == (
+            1 if sys.platform.startswith("win") else 0
+        )
+
+    assert not bdist_dir.is_dir()