diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 87d929f..4522f1a 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -24,19 +24,20 @@ jobs:
           - "3.9"
           - "3.10"
           - "3.11"
+          - "3.12"
           - "pypy-3.10"
 
     steps:
       - name: Git clone
-        uses: actions/checkout@v2
+        uses: actions/checkout@v4
 
       - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v2
+        uses: actions/setup-python@v4
         with:
           python-version: "${{ matrix.python-version }}"
 
       - name: Pip cache
-        uses: actions/cache@v2
+        uses: actions/cache@v3
         with:
           path: ~/.cache/pip
           key: ${{ runner.os }}-pip-${{ matrix.python-version }}-${{ hashFiles('setup.py') }}
@@ -48,23 +49,24 @@ jobs:
         run: |
           python -m pip install -U pip
           python -m pip install -U setuptools wheel
-          python -m pip install -U pytest coverage coveralls
+          python -m pip install -U pytest coverage
           python -m pip install -e .
 
       - name: Run tests
-        run: coverage run -m pytest tests
+        run: |
+          coverage run -m pytest tests
 
       - name: Check test coverage
-        run: coverage report -m --fail-under=${{ (matrix.python-version == 'pypy-3.10') && 99 || 100 }}
+        run: |
+          coverage report -m --fail-under=${{ (matrix.python-version == 'pypy-3.10') && 99 || 100 }}
+          coverage xml
         # pypy3.10 thinks utils.py has one uncovered branch (140 -> 133), which
         # I think is just pypy's optimizer being too smart for coverage.py.
 
       - name: Report to coveralls
-        run: coveralls
-        continue-on-error: true
-        env:
-          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-          COVERALLS_SERVICE_NAME: github
+        uses: coverallsapp/github-action@v2
+        with:
+          file: coverage.xml
 
   lint:
     name: ${{ matrix.toxenv }}
@@ -81,15 +83,15 @@ jobs:
 
     steps:
       - name: Git clone
-        uses: actions/checkout@v2
+        uses: actions/checkout@v4
 
       - name: Set up Python ${{ env.default_python || '3.9' }}
-        uses: actions/setup-python@v2
+        uses: actions/setup-python@v4
         with:
           python-version: "${{ env.default_python || '3.9' }}"
 
       - name: Pip cache
-        uses: actions/cache@v2
+        uses: actions/cache@v3
         with:
           path: ~/.cache/pip
           key: ${{ runner.os }}-pip-${{ matrix.toxenv }}-${{ hashFiles('tox.ini') }}
@@ -104,4 +106,5 @@ jobs:
           python -m pip install -U tox
 
       - name: Run ${{ matrix.toxenv }}
-        run: python -m tox -e ${{ matrix.toxenv }}
+        run: |
+          python -m tox -e ${{ matrix.toxenv }}
diff --git a/CHANGES.rst b/CHANGES.rst
index 10fb6c2..fe69c85 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -1,9 +1,12 @@
 Changelog
 =========
 
-0.21.4 (unreleased)
+0.22.0 (unreleased)
 -------------------
 
+- Add support for Python 3.12: treat it as a released version, run CI tests on
+  3.12.
+
 - Drop support for Python 3.7.
 
 
@@ -43,7 +46,7 @@ Changelog
 0.20.0 (2022-10-27)
 -------------------
 
-- Add support for Python 3.11: threat it as a released version, run CI tests on
+- Add support for Python 3.11: treat it as a released version, run CI tests on
   3.11.
 
 
diff --git a/appveyor.yml b/appveyor.yml
index 6d1d6ea..f9e35b1 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -8,6 +8,7 @@ environment:
     - PYTHON: "C:\\Python39"
     - PYTHON: "C:\\Python310"
     - PYTHON: "C:\\Python311"
+    - PYTHON: "C:\\Python312"
 
 init:
   - "echo %PYTHON%"
@@ -22,6 +23,7 @@ install:
   - "set PATH=%PYTHON%;%PYTHON%\\Scripts;%PATH%"
   - python --version
   - pip install -U virtualenv  # upgrade pip in tox's virtualenvs
+  - pip install setuptools  # the test suite needs the system python to have setuptools
   - pip install tox
 
 build: off
diff --git a/setup.py b/setup.py
index 117eb34..7da28a8 100755
--- a/setup.py
+++ b/setup.py
@@ -55,6 +55,7 @@
         'Programming Language :: Python :: 3.9',
         'Programming Language :: Python :: 3.10',
         'Programming Language :: Python :: 3.11',
+        'Programming Language :: Python :: 3.12',
         'Programming Language :: Python :: Implementation :: CPython',
         'Programming Language :: Python :: Implementation :: PyPy',
     ],
diff --git a/src/check_python_versions/__init__.py b/src/check_python_versions/__init__.py
index b7fb17d..d29af37 100644
--- a/src/check_python_versions/__init__.py
+++ b/src/check_python_versions/__init__.py
@@ -13,4 +13,4 @@
 """
 
 __author__ = 'Marius Gedminas <marius@gedmin.as>'
-__version__ = '0.21.4.dev0'
+__version__ = '0.22.0.dev0'
diff --git a/src/check_python_versions/versions.py b/src/check_python_versions/versions.py
index 0aff51c..5b7b3c7 100644
--- a/src/check_python_versions/versions.py
+++ b/src/check_python_versions/versions.py
@@ -11,7 +11,7 @@
 
 MAX_PYTHON_1_VERSION = 6  # i.e. 1.6
 MAX_PYTHON_2_VERSION = 7  # i.e. 2.7
-CURRENT_PYTHON_3_VERSION = 11  # i.e. 3.10
+CURRENT_PYTHON_3_VERSION = 12  # i.e. 3.12
 
 MAX_MINOR_FOR_MAJOR = {
     1: MAX_PYTHON_1_VERSION,
diff --git a/tox.ini b/tox.ini
index 5ae44b9..ed94beb 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py38,py39,py310,py311,pypy3,flake8,mypy,isort,coverage
+envlist = py38,py39,py310,py311,py312,pypy3,flake8,mypy,isort,coverage
 
 [testenv]
 deps =