diff --git a/constance/__init__.py b/constance/__init__.py
index 97ac58d..7b44c6b 100644
--- a/constance/__init__.py
+++ b/constance/__init__.py
@@ -1,9 +1,11 @@
+import django
 from django.utils.functional import LazyObject
 from . import checks
 
 __version__ = '2.8.0'
 
-default_app_config = 'constance.apps.ConstanceConfig'
+if django.VERSION < (3, 2):  # pragma: no cover
+    default_app_config = 'constance.apps.ConstanceConfig'
 
 
 class LazyConfig(LazyObject):
diff --git a/tox.ini b/tox.ini
index 95ff67c..1bd47c8 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,11 +1,8 @@
 [tox]
 envlist =
-    py{36,37,38,39,py3}-dj{22}-unittest
-    py{36,37,py3}-dj{30,31}-unittest
-    py{36,37,py3}-dj{22,30,31}-pytest
-    py{38,39}-dj{30,31,main}-unittest
-    py{38,39}-dj{22,30,31,main}-pytest
-
+    py{36,37,38,39,py3}-dj{22,30,31,32}-{unittest,pytest}
+    py{38,39}-djmain-{unittest,pytest}
+    
 [testenv]
 deps =
     redis
@@ -15,6 +12,7 @@ deps =
     dj22: Django>=2.2,<3.0
     dj30: Django>=3.0,<3.1
     dj31: Django>=3.1,<3.2
+    dj32: Django~=3.2b
     djmain: https://github.com/django/django/archive/main.tar.gz
     pytest: pytest
     pytest: pytest-cov