diff --git a/.github/workflows/build-wheels.yml b/.github/workflows/build-wheels.yml
index d6f992588e..361d292285 100644
--- a/.github/workflows/build-wheels.yml
+++ b/.github/workflows/build-wheels.yml
@@ -105,7 +105,7 @@ jobs:
     - name: Prepare build files
       run: pipx run nox -s prepare
 
-    - uses: pypa/cibuildwheel@v2.19
+    - uses: pypa/cibuildwheel@v2.20
       env:
         CIBW_BUILD: "${{ matrix.build }}*"
         CIBW_ARCHS: ${{ matrix.arch }}
@@ -136,7 +136,7 @@ jobs:
       SOURCE_DATE_EPOCH: ${{ needs.determine-source-date-epoch.outputs.source-date-epoch }}
     strategy:
       matrix:
-        python: [38, 39, 310, 311, 312]
+        python: [38, 39, 310, 311, 312, 313]
         arch: [aarch64]
     steps:
 
@@ -157,7 +157,7 @@ jobs:
 
     - uses: docker/setup-qemu-action@v3.2.0
 
-    - uses: pypa/cibuildwheel@v2.19
+    - uses: pypa/cibuildwheel@v2.20
       env:
         CIBW_BUILD: cp${{ matrix.python }}-*
         CIBW_ARCHS: ${{ matrix.arch }}
diff --git a/.github/workflows/packaging-test.yml b/.github/workflows/packaging-test.yml
index 8317cc58a2..20ae0fe714 100644
--- a/.github/workflows/packaging-test.yml
+++ b/.github/workflows/packaging-test.yml
@@ -68,7 +68,7 @@ jobs:
     - name: Prepare build files
       run: pipx run nox -s prepare
 
-    - uses: pypa/cibuildwheel@v2.19
+    - uses: pypa/cibuildwheel@v2.20
       env:
         CIBW_ARCHS_MACOS: universal2
         CIBW_BUILD: cp39-win_amd64 cp310-manylinux_x86_64 cp38-macosx_universal2
@@ -76,7 +76,7 @@ jobs:
         config-file: cibuildwheel.toml
         package-dir: awkward-cpp
 
-    - uses: pypa/cibuildwheel@v2.19
+    - uses: pypa/cibuildwheel@v2.20
       if: matrix.os == 'ubuntu-latest'
       env:
         CIBW_BUILD: cp312-manylinux_x86_64
diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 5ef43543af..2c58f66746 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -39,6 +39,7 @@ jobs:
           - ubuntu-latest
           - macos-13
         python-version:
+          - '3.13'
           - '3.12'
           - '3.11'
           - '3.10'
@@ -110,6 +111,11 @@ jobs:
           files: |
             awkward-cpp/dist/*.whl
 
+      - name: Add workaround for 3.13 + cramjam
+        if: matrix.python-version == '3.13'
+        run: echo 'PYO3_USE_ABI3_FORWARD_COMPATIBILITY=1' >> $GITHUB_ENV
+        shell: bash
+
       - name: Install awkward, awkward-cpp, and dependencies
         run: >-
           python -m pip install -v . ${{ steps.find-wheel.outputs.paths }} pytest-github-actions-annotate-failures
diff --git a/awkward-cpp/pyproject.toml b/awkward-cpp/pyproject.toml
index 9d64da31ab..9c5637b5d3 100644
--- a/awkward-cpp/pyproject.toml
+++ b/awkward-cpp/pyproject.toml
@@ -1,6 +1,6 @@
 [build-system]
 requires = [
-    "scikit-build-core>=0.9",
+    "scikit-build-core>=0.10",
     "pybind11",
 ]
 build-backend = "scikit_build_core.build"
@@ -59,7 +59,7 @@ Releases = "https://github.com/scikit-hep/awkward-1.0/releases"
 
 
 [tool.scikit-build]
-minimum-version = "0.9"
+minimum-version = "build-system.requires"
 build-dir = "build/{cache_tag}"
 sdist.reproducible = true
 sdist.include = [
diff --git a/cibuildwheel.toml b/cibuildwheel.toml
index 96f94455fe..91827c69a0 100644
--- a/cibuildwheel.toml
+++ b/cibuildwheel.toml
@@ -23,5 +23,5 @@ build-verbosity = 1
 PIP_ONLY_BINARY = "cmake,numpy"
 
 [[tool.cibuildwheel.overrides]]
-select = "cp312-*"
-environment.PIP_PRE = "1"
+select = "cp313*"
+environment.PYO3_USE_ABI3_FORWARD_COMPATIBILITY = "1"
diff --git a/pyproject.toml b/pyproject.toml
index 20e701f5de..b985ae05cd 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -32,6 +32,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Topic :: Scientific/Engineering",
     "Topic :: Scientific/Engineering :: Information Analysis",
     "Topic :: Scientific/Engineering :: Mathematics",
diff --git a/requirements-test-full.txt b/requirements-test-full.txt
index 51e47e53f2..ded83569b7 100644
--- a/requirements-test-full.txt
+++ b/requirements-test-full.txt
@@ -1,9 +1,9 @@
 fsspec>=2022.11.0;sys_platform != "win32"
-jax[cpu]>=0.2.15;sys_platform != "win32" and python_version < "3.12"
-numba>=0.50.0;sys_platform != "win32" and python_version < "3.12"
-numexpr>=2.7; python_version < "3.12"
-pandas>=0.24.0;sys_platform != "win32" and python_version < "3.12"
-pyarrow==16.0.0;sys_platform != "win32" and python_version < "3.12"
+jax[cpu]>=0.2.15;sys_platform != "win32" and python_version < "3.13"
+numba>=0.50.0;sys_platform != "win32" and python_version < "3.13"
+numexpr>=2.7; python_version < "3.13"
+pandas>=0.24.0;sys_platform != "win32" and python_version < "3.13"
+pyarrow==16.0.0;sys_platform != "win32" and python_version < "3.13"
 pytest>=6
 pytest-cov
 pytest-xdist