diff --git a/docs/development/building-and-testing-packages.md b/docs/development/building-and-testing-packages.md
index 7aaecde57..052a1f681 100644
--- a/docs/development/building-and-testing-packages.md
+++ b/docs/development/building-and-testing-packages.md
@@ -15,7 +15,9 @@ Subsystem for Linux.
 If your package is a pure Python package (i.e., if the wheel ends in
 `py3-none-any.whl`) then follow the official PyPA documentation on building
 [wheels](https://packaging.python.org/en/latest/tutorials/packaging-projects/#generating-distribution-archives)
-Otherwise, the procedure is as follows.
+For binary packages, the manual steps are detailed below. In addition,
+[cibuildwheel](https://cibuildwheel.pypa.io/en/stable/) 2.19 or later provides
+support for building binary wheels with Pyodide as a target.
 
 ### Install pyodide-build
 
@@ -142,20 +144,20 @@ and you can pass options to it just like normal. Currently `subprocess` doesn't
 work, so if you have a test runner that uses `subprocess` then it cannot be
 used.
 
-## Build Github actions example
+## Github Actions build examples
 
-Here is a complete example of a Github Actions workflow for building a Python
-wheel out of tree:
+This is a complete example for building a Pyodide wheel out of tree using
+`pyodide build` directly:
 
 ```yaml
-runs-on: ubuntu-22.04
+runs-on: ubuntu-22.04 # or ubuntu-latest
   steps:
   - uses: actions/checkout@v4
   - uses: actions/setup-python@v5
     with:
-       python-version: 3.11.2
+       python-version: 3.12
   - run: |
-      pip install pyodide-build>=0.23.0
+      pip install pyodide-build>=0.28.0
       echo EMSCRIPTEN_VERSION=$(pyodide config get emscripten_version) >> $GITHUB_ENV
   - uses: mymindstorm/setup-emsdk@v14
     with:
@@ -163,6 +165,17 @@ runs-on: ubuntu-22.04
   - run: pyodide build
 ```
 
+And this is an example using `cibuildwheel` to build a Pyodide wheel out of tree:
+
+```yaml
+runs-on: ubuntu-22.04 # or ubuntu-latest
+  steps:
+  - uses: actions/checkout@v4
+  - uses: pypa/cibuildwheel@v2.20.0
+    env:
+       CIBW_PLATFORM: pyodide
+```
+
 For an example "in the wild" of a github action to build and test a wheel
 against Pyodide, see
 [the numpy CI](https://github.com/numpy/numpy/blob/main/.github/workflows/emscripten.yml)