diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 320312d..04f4601 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -32,6 +32,8 @@ vNext
 
 Other
 ~~~~~
+* Test against Django 4.2 prerelease, Python 3.11 (with Django 4.2),
+  and PyPy 3.9.
 * Use black, isort and doc8 to format code,
   enforced via pre-commit. (Thanks to `@tim-schilling`_.)
 
diff --git a/setup.py b/setup.py
index d4405c8..ba743b2 100644
--- a/setup.py
+++ b/setup.py
@@ -103,6 +103,7 @@ setup(
         "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.9",
         "Programming Language :: Python :: 3.10",
+        "Programming Language :: Python :: 3.11",
         "License :: OSI Approved :: BSD License",
         "Topic :: Communications :: Email",
         "Topic :: Software Development :: Libraries :: Python Modules",
@@ -113,6 +114,7 @@ setup(
         "Framework :: Django :: 3.2",
         "Framework :: Django :: 4.0",
         "Framework :: Django :: 4.1",
+        # not yet registered: "Framework :: Django :: 4.2",
         "Environment :: Web Environment",
     ],
     long_description=long_description,
diff --git a/tox.ini b/tox.ini
index 7a2d568..773abdc 100644
--- a/tox.ini
+++ b/tox.ini
@@ -10,19 +10,21 @@ envlist =
     docs
     # ... then test all the other supported combinations:
     # Django 4.1: Python 3.8, 3.9, 3.10
-    django41-py{38,39,py38}-all
+    django41-py{38,39,py38,py39}-all
     # Django 4.0: Python 3.8, 3.9, 3.10
-    django40-py{38,39,310,py38}-all
+    django40-py{38,39,310,py38,py39}-all
     # Django 3.2: Python 3.6, 3.7, 3.8, 3.9
-    django32-py{36,37,38,39,py38}-all
+    django32-py{36,37,38,39,py38,py39}-all
     # Django 3.1: Python 3.6, 3.7, 3.8, 3.9 (added in 3.1.3)
-    django31-py{36,37,38,39,py38}-all
+    django31-py{36,37,38,39,py38,py39}-all
     # Django 3.0: Python 3.6, 3.7, 3.8, 3.9 (added in 3.0.11)
-    django30-py{37,38,39,py38}-all
+    django30-py{37,38,39,py38,py39}-all
     # ... then prereleases (if available) and current development:
-    djangoDev-py{38,39,310,311,py38}-all
+    # Django 4.2 alpha: Python 3.8, 3.9, 3.10, 3.11
+    django42-py{38,39,310,311,py38,py39}-all
+    djangoDev-py{38,39,310,311,py38,py39}-all
     # ... then partial installation (limit extras):
-    django40-py310-{none,amazon_ses,postal}
+    django41-py310-{none,amazon_ses,postal}
     # ... then older versions of some dependencies:
     django32-py37-all-old_urllib3
 
@@ -33,6 +35,7 @@ deps =
     django32: django~=3.2.0
     django40: django~=4.0.0
     django41: django~=4.1.0
+    django42: django~=4.2.0a0
     djangoDev: https://github.com/django/django/tarball/main
     old_urllib3: urllib3<1.25
 extras =
@@ -57,6 +60,8 @@ ignore_outcome =
     # CI that wants to handle errors itself can set TOX_OVERRIDE_IGNORE_OUTCOME=false
     djangoDev: {env:TOX_OVERRIDE_IGNORE_OUTCOME:true}
 args_are_paths = false
+# Upgrade pip/wheel/setuptools:
+download = true
 commands_pre =
     python -VV
     python -c 'import django; print("Django", django.__version__)'