diff --git a/.github/workflows/tox.yml b/.github/workflows/tox.yml
index d253148f5..502298a7e 100644
--- a/.github/workflows/tox.yml
+++ b/.github/workflows/tox.yml
@@ -10,7 +10,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macos-latest] # All OSes pass except Windows because tests need Unix-only fcntl, grp, pwd, etc.
-        python-version: [ "3.7", "3.8", "3.9", "3.10", "3.11", "pypy-3.8" ]
+        python-version: [ "3.7", "3.8", "3.9", "3.10", "3.11", "3.12", "pypy-3.8", "pypy-3.10" ]
     steps:
       - uses: actions/checkout@v4
       - name: Using Python ${{ matrix.python-version }}
diff --git a/appveyor.yml b/appveyor.yml
index 5eb48e9cd..89ea8414c 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -9,16 +9,18 @@ environment:
       PYTHON: "C:\\Python38-x64"
     # Windows is not ready for testing!!!
     # Python's fcntl, grp, pwd, os.geteuid(), and socket.AF_UNIX are all Unix-only.
-    #- TOXENV: py35
-    #  PYTHON: "C:\\Python35-x64"
-    #- TOXENV: py36
-    #  PYTHON: "C:\\Python36-x64"
     #- TOXENV: py37
     #  PYTHON: "C:\\Python37-x64"
     #- TOXENV: py38
     #  PYTHON: "C:\\Python38-x64"
     #- TOXENV: py39
     #  PYTHON: "C:\\Python39-x64"
+    #- TOXENV: py310
+    #  PYTHON: "C:\\Python39-x64"
+    #- TOXENV: py311
+    #  PYTHON: "C:\\Python39-x64"
+    #- TOXENV: py312
+    #  PYTHON: "C:\\Python39-x64"
 matrix:
   allow_failures:
     - TOXENV: py35
diff --git a/tox.ini b/tox.ini
index a7b7d38c6..cc8d34f73 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py{37,38,39,310,311,py3}, lint, docs-lint, pycodestyle
+envlist = py{37,38,39,310,311,312,py38,py310}, lint, docs-lint, pycodestyle
 skipsdist = false
 ; Can't set skipsdist and use_develop in tox v4 to true due to https://github.com/tox-dev/tox/issues/2730
 
@@ -26,8 +26,9 @@ commands =
     tests/test_systemd.py \
     tests/test_util.py \
     tests/test_valid_requests.py
+# linting on fixed versions, upgrading to matrix-incompat pylint release is OK
 deps =
-  pylint==2.17.4
+  pylint==3.0.2
 
 [testenv:docs-lint]
 allowlist_externals =