diff --git a/.github/workflows/tests-cibw.yml b/.github/workflows/tests-cibw.yml
index cd05bf11c9..dd939439f4 100644
--- a/.github/workflows/tests-cibw.yml
+++ b/.github/workflows/tests-cibw.yml
@@ -30,8 +30,12 @@ jobs:
         only: cp312-pyodide_wasm32
 
   build-ios:
-    name: iOS wheel
-    runs-on: macos-latest
+    name: iOS wheel ${{ matrix.runs-on }}
+    runs-on: ${{ matrix.runs-on }}
+    strategy:
+      fail-fast: false
+      matrix:
+        runs-on: [macos-latest, macos-13]
     steps:
     - uses: actions/checkout@v4
       with:
@@ -45,3 +49,37 @@ jobs:
         CIBW_PLATFORM: ios
       with:
         package-dir: tests
+
+  build-android:
+    name: Android wheel ${{ matrix.runs-on }}
+    runs-on: ${{ matrix.runs-on }}
+    strategy:
+      fail-fast: false
+      matrix:
+        runs-on: [macos-latest, macos-13, ubuntu-latest]
+    steps:
+    - uses: actions/checkout@v4
+      with:
+        submodules: true
+        fetch-depth: 0
+
+    # GitHub Actions can't currently run the Android emulator on macOS.
+    - name: Skip Android tests on macOS
+      if: contains(matrix.runs-on, 'macos')
+      run: echo "CIBW_TEST_COMMAND=" >> "$GITHUB_ENV"
+
+    # https://github.blog/changelog/2024-04-02-github-actions-hardware-accelerated-android-virtualization-now-available/
+    - name: Enable KVM for Android emulator
+      if: contains(matrix.runs-on, 'ubuntu')
+      run: |
+        echo 'KERNEL=="kvm", GROUP="kvm", MODE="0666", OPTIONS+="static_node=kvm"' | sudo tee /etc/udev/rules.d/99-kvm4all.rules
+        sudo udevadm control --reload-rules
+        sudo udevadm trigger --name-match=kvm
+
+    - run: pipx install wheel patchelf
+
+    - uses: mhsmith/cibuildwheel@android  # TODO: update to a released version
+      env:
+        CIBW_PLATFORM: android
+      with:
+        package-dir: tests
diff --git a/tests/env.py b/tests/env.py
index d234c425d4..95cc1ac611 100644
--- a/tests/env.py
+++ b/tests/env.py
@@ -6,6 +6,7 @@
 
 import pytest
 
+ANDROID = sys.platform.startswith("android")
 LINUX = sys.platform.startswith("linux")
 MACOS = sys.platform.startswith("darwin")
 WIN = sys.platform.startswith("win32") or sys.platform.startswith("cygwin")
diff --git a/tests/pyproject.toml b/tests/pyproject.toml
index e58eb581ca..fa478122d3 100644
--- a/tests/pyproject.toml
+++ b/tests/pyproject.toml
@@ -1,5 +1,6 @@
-# Warning: this is currently used for pyodide, and is not a general out-of-tree
-# builder for the tests (yet). Specifically, wheels can't be built from SDists.
+# Warning: this is currently used to test cross-compilation, and is not a general
+# out-of-tree builder for the tests (yet). Specifically, wheels can't be built from
+# SDists.
 
 [build-system]
 requires = ["scikit-build-core"]
@@ -29,6 +30,8 @@ test-sources = ["tests", "pyproject.toml"]
 test-command = "python -m pytest -o timeout=0 -p no:cacheprovider tests"
 environment.PIP_ONLY_BINARY = "numpy"
 environment.PIP_PREFER_BINARY = "1"
+
+android.environment.ANDROID_API_LEVEL = "24"  # Needed to include libc++ in the wheel.
 pyodide.test-groups = ["numpy", "scipy"]
 ios.test-groups = ["numpy"]
 ios.xbuild-tools = ["cmake", "ninja"]
diff --git a/tests/test_exceptions.py b/tests/test_exceptions.py
index 921540194a..79b3879034 100644
--- a/tests/test_exceptions.py
+++ b/tests/test_exceptions.py
@@ -76,7 +76,7 @@ def test_cross_module_exceptions(msg):
 
 # TODO: FIXME
 @pytest.mark.xfail(
-    "env.MACOS and env.PYPY",
+    "(env.MACOS and env.PYPY) or env.ANDROID",
     raises=RuntimeError,
     reason="See Issue #2847, PR #2999, PR #4324",
     strict=not env.PYPY,  # PR 5569