diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index c67649c..63104b6 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -10,13 +10,18 @@ on:
 
 jobs:
   build-and-test:
-    name: "Python ${{ matrix.python-version }} on ${{ matrix.os }}"
+    name: "Python ${{ matrix.python-version }} on ${{ matrix.os }} jax=${{ matrix.jax-version}}"
     runs-on: "${{ matrix.os }}"
 
     strategy:
       matrix:
         python-version: ["3.9", "3.10", "3.11"]
         os: [ubuntu-latest]
+        jax-version: ["newest"]
+        include:
+          - python-version: "3.9"
+            os: "ubuntu-latest"
+            jax-version: "0.4.27"  # Keep this in sync with version in pyproject.toml
 
     steps:
       - uses: "actions/checkout@v2"
@@ -26,5 +31,5 @@ jobs:
             cache: "pip"
             cache-dependency-path: '**/requirements*.txt'
       - name: Run CI tests
-        run: bash test.sh
+        run: JAX_VERSION="${{ matrix.jax-version }}" bash test.sh
         shell: bash
diff --git a/requirements/requirements.txt b/requirements/requirements.txt
index cc86154..c46e256 100644
--- a/requirements/requirements.txt
+++ b/requirements/requirements.txt
@@ -1,7 +1,7 @@
 absl-py>=0.9.0
 typing_extensions>=4.2.0
-jax>=0.4.16
-jaxlib>=0.1.37
+jax>=0.4.27
+jaxlib>=0.4.27
 numpy>=1.24.1
 setuptools;python_version>="3.12"
 toolz>=0.9.0
diff --git a/test.sh b/test.sh
index 9761ae6..dd701a5 100755
--- a/test.sh
+++ b/test.sh
@@ -32,6 +32,15 @@ pip install flake8 pytest-xdist pylint pylint-exit
 pip install -r requirements/requirements.txt
 pip install -r requirements/requirements-test.txt
 
+# Install the requested JAX version
+if [ "$JAX_VERSION" = "" ]; then
+  : # use version installed in requirements above
+elif [ "$JAX_VERSION" = "newest" ]; then
+  pip install -U jax jaxlib
+else
+  pip install "jax==${JAX_VERSION}" "jaxlib==${JAX_VERSION}"
+fi
+
 # Lint with flake8.
 flake8 `find chex -name '*.py' | xargs` --count --select=E9,F63,F7,F82,E225,E251 --show-source --statistics