diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index fb6629d7..d33e5837 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -24,7 +24,7 @@ jobs:
     runs-on: ${{ matrix.os }}
     strategy:
       matrix:
-        python-version: [2.7, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10.0-rc.1]
+        python-version: [2.7, 3.5, 3.6, 3.7, 3.8, 3.9, "3.10", "3.11.0-rc.1"]
         os: [ubuntu-latest, macos-latest]
     steps:
     - uses: actions/checkout@v2
diff --git a/CHANGES.rst b/CHANGES.rst
index c42976df..711c0cee 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -2,6 +2,12 @@
  Changes
 =========
 
+1.1.3 (unreleased)
+==================
+
+- Add support for Python 3.11. Please note that Windows binary wheels
+  are not available at this time.
+
 1.1.2 (2021-09-29)
 ==================
 
diff --git a/appveyor.yml b/appveyor.yml
index ddbf5ad7..2b814e72 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -35,7 +35,7 @@ environment:
   matrix:
     # http://www.appveyor.com/docs/installed-software#python
     - PYTHON: "C:\\Python310-x64"
-      PYTHON_VERSION: "3.10.0rc2"
+      PYTHON_VERSION: "3.10.4"
       PYTHON_ARCH: "64"
       PYTHON_EXE: python
       APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2019
diff --git a/make-manylinux b/make-manylinux
index 0d41bd82..49e29fff 100755
--- a/make-manylinux
+++ b/make-manylinux
@@ -27,7 +27,7 @@ if [ -d /greenlet -a -d /opt/python ]; then
     mkdir -p /greenlet/wheelhouse
     OPATH="$PATH"
     which auditwheel
-    for variant in `ls -d /opt/python/cp{27,35,36,37,38,39,310}*`; do
+    for variant in `ls -d /opt/python/cp{27,35,36,37,38,39,310,311}*`; do
         export PATH="$variant/bin:$OPATH"
         echo "Building $variant $(python --version)"
 
diff --git a/setup.py b/setup.py
index cccc701c..583a91eb 100755
--- a/setup.py
+++ b/setup.py
@@ -145,6 +145,7 @@ def get_greenlet_version():
         'Programming Language :: Python :: 3.8',
         'Programming Language :: Python :: 3.9',
         'Programming Language :: Python :: 3.10',
+        'Programming Language :: Python :: 3.11',
         'Operating System :: OS Independent',
         'Topic :: Software Development :: Libraries :: Python Modules'
     ],
diff --git a/src/greenlet/__init__.py b/src/greenlet/__init__.py
index 896f007d..761078f0 100644
--- a/src/greenlet/__init__.py
+++ b/src/greenlet/__init__.py
@@ -25,7 +25,7 @@
 ###
 # Metadata
 ###
-__version__ = '1.1.2'
+__version__ = '1.1.3.dev0'
 from ._greenlet import _C_API # pylint:disable=no-name-in-module
 
 ###