diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index ee9844e200..18cf6cae9e 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -71,6 +71,8 @@ jobs:
         # NOTE: Since only the value of these parameters are presented in the
         #       GitHub UI when the workflow run, we avoid using true/false as
         #       values by instead duplicating the name to signal true.
+        # Python versions available at:
+        #   https://github.com/actions/python-versions/blob/HEAD/versions-manifest.json
         include:
           - python: "3.7"
             oldest_dependencies: oldest_dependencies
@@ -85,10 +87,7 @@ jobs:
             subdomain: subdomain
           - python: "3.10"
             ssl: ssl
-          # can't test 3.11.0-beta.4 until a greenlet release
-          # greenlet is a dependency of sqlalchemy on linux
-          # see https://github.com/gevent/gevent/issues/1867
-          # - python: "3.11.0-beta.4"
+          - python: "3.11.0-rc.1"
           - python: "3.10"
             main_dependencies: main_dependencies
 
@@ -136,9 +135,19 @@ jobs:
         uses: actions/setup-python@v4
         with:
           python-version: "${{ matrix.python }}"
+
       - name: Install Python dependencies
         run: |
           pip install --upgrade pip
+
+          if [[ "${{ matrix.python }}" == "3.11"* ]]; then
+            # greenlet is not actually required,
+            # but is an install dependency of sqlalchemy.
+            # It does not yet install on 3.11
+            # see: see https://github.com/gevent/gevent/issues/1867
+            pip install ./ci/mock-greenlet
+          fi
+
           pip install --upgrade . -r dev-requirements.txt
 
           if [ "${{ matrix.oldest_dependencies }}" != "" ]; then
diff --git a/ci/mock-greenlet/greenlet.py b/ci/mock-greenlet/greenlet.py
new file mode 100644
index 0000000000..c1066e6ea1
--- /dev/null
+++ b/ci/mock-greenlet/greenlet.py
@@ -0,0 +1,3 @@
+__version__ = "22.0.0.dev0"
+
+raise ImportError("Don't actually have greenlet")
diff --git a/ci/mock-greenlet/pyproject.toml b/ci/mock-greenlet/pyproject.toml
new file mode 100644
index 0000000000..3a1c23e854
--- /dev/null
+++ b/ci/mock-greenlet/pyproject.toml
@@ -0,0 +1,13 @@
+[build-system]
+requires = ["hatchling"]
+build-backend = "hatchling.build"
+
+[project]
+name = "greenlet"
+description = 'Mock greenlet to allow install on 3.11'
+requires-python = ">=3.7"
+dynamic = ["version"]
+
+
+[tool.hatch.version]
+path = "greenlet.py"