diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 40050890..31eb3c45 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -82,6 +82,10 @@ jobs:
             os: ubuntu-latest
             python-version: '3.10'
             tox-env: gmpy2py310
+          - name: py3.11
+            os: ubuntu-latest
+            python-version: '3.11.0-alpha.3'
+            tox-env: py311
           - name: pypy
             os: ubuntu-latest
             python-version: pypy-2.7
diff --git a/tox.ini b/tox.ini
index 7661d8cb..06079282 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 
 [tox]
-envlist = py26, py27, py33, py34, py35, py36, py37, py38, py39, py310, py, pypy, pypy3, gmpy2py27, gmpy2py39, gmpy2py310, gmpypy27, gmpypy39, gmpypy310, codechecks
+envlist = py26, py27, py33, py34, py35, py36, py37, py38, py39, py310, py311, py, pypy, pypy3, gmpy2py27, gmpy2py39, gmpy2py310, gmpypy27, gmpypy39, gmpypy310, codechecks
 
 [testenv]
 deps =
@@ -11,12 +11,12 @@ deps =
      py{26}: unittest2
      py{26}: hypothesis<3
      py{34}: attrs<21
-     py{26,27,34,35,36,37,38,39,310,py,py3}: pytest
-     py{27,34,35,36,37,38,39,310,py,py3}: hypothesis
-     gmpy2py{27,39,310}: gmpy2
-     gmpypy{27,39,310}: gmpy
-     gmpy{2py27,2py39,2py310,py27,py39,py310}: pytest
-     gmpy{2py27,2py39,2py310,py27,py39,py310}: hypothesis
+     py{26,27,34,35,36,37,38,39,310,311,py,py3}: pytest
+     py{27,34,35,36,37,38,39,310,311,py,py3}: hypothesis
+     gmpy2py{27,39,310,311}: gmpy2
+     gmpypy{27,39,310,311}: gmpy
+     gmpy{2py27,2py39,2py310,2py311,py27,py39,py310,py311}: pytest
+     gmpy{2py27,2py39,2py310,2py311,py27,py39,py310,py311}: hypothesis
 # six==1.9.0 comes from setup.py install_requires
      py27_old_six: six==1.9.0
      py27_old_six: pytest
@@ -53,6 +53,9 @@ basepython=python3.9
 [testenv:gmpypy310]
 basepython=python3.10
 
+[testenv:gmpypy311]
+basepython=python3.11
+
 [testenv:gmpy2py27]
 basepython=python2.7
 
@@ -62,6 +65,9 @@ basepython=python3.9
 [testenv:gmpy2py310]
 basepython=python3.10
 
+[testenv:gmpy2py311]
+basepython=python3.11
+
 [testenv:instrumental]
 basepython = python2.7
 deps =