diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 058acbee..243fbf01 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -47,6 +47,7 @@ jobs:
           - python: "3.9"
           - python: "3.10"
           - python: "3.11"
+          - python: "3.12"
     steps:
       - name: Checkout
         uses: actions/checkout@v3
@@ -61,6 +62,7 @@ jobs:
         with:
           python-version: "${{ matrix.python }}"
           architecture: x64
+          allow-prereleases: true
       - name: Run tests
         run: pipx run nox -s tests-${{ matrix.python }}
       - name: Upload coverage to codecov
diff --git a/noxfile.py b/noxfile.py
index 117ec6e6..edce0767 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -8,7 +8,7 @@
 
 nox.options.sessions = ["lint", "test-dist"]
 
-PYTHON_ALL_VERSIONS = ["3.7", "3.8", "3.9", "3.10", "3.11"]
+PYTHON_ALL_VERSIONS = ["3.7", "3.8", "3.9", "3.10", "3.11", "3.12"]
 RUNNING_CI = "TRAVIS" in os.environ or "GITHUB_ACTIONS" in os.environ
 
 
diff --git a/pyproject.toml b/pyproject.toml
index 4009be6e..6a5fb5ac 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -6,7 +6,7 @@ build-backend = "setuptools.build_meta"
 # enable version inference
 
 [tool.black]
-target-version = ["py37", "py38", "py39", "py310", "py311"]
+target-version = ["py37", "py38", "py39", "py310", "py311", "py312"]
 extend-exclude = "src/auditwheel/_vendor"
 
 [tool.isort]
diff --git a/setup.cfg b/setup.cfg
index b9a29c82..1c93370c 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -19,6 +19,7 @@ classifier =
         Programming Language :: Python :: 3.9
         Programming Language :: Python :: 3.10
         Programming Language :: Python :: 3.11
+        Programming Language :: Python :: 3.12
         Programming Language :: Python :: 3 :: Only
         Topic :: Software Development
         Topic :: Software Development :: Build Tools
diff --git a/tests/integration/test_manylinux.py b/tests/integration/test_manylinux.py
index 896aedc1..e8e1c3a7 100644
--- a/tests/integration/test_manylinux.py
+++ b/tests/integration/test_manylinux.py
@@ -52,11 +52,14 @@
 PYTHON_ABI_MAJ_MIN = "".join(PYTHON_MAJ_MIN)
 PYTHON_ABI_FLAGS = "m" if sys.version_info.minor < 8 else ""
 PYTHON_ABI = f"cp{PYTHON_ABI_MAJ_MIN}-cp{PYTHON_ABI_MAJ_MIN}{PYTHON_ABI_FLAGS}"
-MANYLINUX_PYTHON_IMAGE_ID = f'python:{".".join(PYTHON_MAJ_MIN)}-slim-bullseye'
+PYTHON_IMAGE_TAG = ".".join(PYTHON_MAJ_MIN) + (
+    "-rc" if PYTHON_MAJ_MIN == ["3", "12"] else ""
+)
+MANYLINUX_PYTHON_IMAGE_ID = f"python:{PYTHON_IMAGE_TAG}-slim-bullseye"
 MUSLLINUX_IMAGES = {
     "musllinux_1_1": f"quay.io/pypa/musllinux_1_1_{PLATFORM}:latest",
 }
-MUSLLINUX_PYTHON_IMAGE_ID = f'python:{".".join(PYTHON_MAJ_MIN)}-alpine'
+MUSLLINUX_PYTHON_IMAGE_ID = f"python:{PYTHON_IMAGE_TAG}-alpine"
 DEVTOOLSET = {
     "manylinux_2_5": "devtoolset-2",
     "manylinux_2_12": "devtoolset-8",
@@ -82,6 +85,7 @@
     "39": "1.21.4",
     "310": "1.21.4",
     "311": "1.23.4",
+    "312": "1.26.0rc1",
 }
 NUMPY_VERSION = NUMPY_VERSION_MAP[PYTHON_ABI_MAJ_MIN]
 ORIGINAL_NUMPY_WHEEL = f"numpy-{NUMPY_VERSION}-{PYTHON_ABI}-linux_{PLATFORM}.whl"
@@ -206,6 +210,8 @@ def build_numpy(container, policy, output_dir):
     elif policy.startswith("manylinux_2_28_"):
         docker_exec(container, "dnf install -y openblas-devel")
     else:
+        if tuple(int(part) for part in NUMPY_VERSION.split(".")[:2]) >= (1, 26):
+            pytest.skip("numpy>=1.26 requires openblas")
         docker_exec(container, "yum install -y atlas atlas-devel")
 
     if op.exists(op.join(WHEEL_CACHE_FOLDER, policy, ORIGINAL_NUMPY_WHEEL)):
@@ -297,6 +303,8 @@ def test_build_repair_numpy(
         else:
             docker_exec(docker_python, "apt-get update -yqq")
             docker_exec(docker_python, "apt-get install -y gfortran")
+        if tuple(int(part) for part in NUMPY_VERSION.split(".")[:2]) >= (1, 26):
+            docker_exec(docker_python, "pip install meson ninja")
         docker_exec(
             docker_python,
             "python -m numpy.f2py -c /auditwheel_src/tests/integration/foo.f90 -m foo",