diff --git a/docs/internals/contributing/writing-code/unit-tests.txt b/docs/internals/contributing/writing-code/unit-tests.txt
index d4d7a524c0..21a0d3d003 100644
--- a/docs/internals/contributing/writing-code/unit-tests.txt
+++ b/docs/internals/contributing/writing-code/unit-tests.txt
@@ -271,7 +271,7 @@ If you want to run the full suite of tests, you'll need to install a number of
 dependencies:
 
 *  argon2-cffi_ 19.1.0+
-*  asgiref_ 3.2.10+ (required)
+*  asgiref_ 3.3.2+ (required)
 *  bcrypt_
 *  colorama_
 *  docutils_
diff --git a/docs/releases/3.2.txt b/docs/releases/3.2.txt
index 3ba8c36415..f094932626 100644
--- a/docs/releases/3.2.txt
+++ b/docs/releases/3.2.txt
@@ -739,6 +739,9 @@ Miscellaneous
   messages in the :rfc:`6265` compliant format. Support for cookies that use
   the old format remains until Django 4.1.
 
+* The minimum supported version of ``asgiref`` is increased from 3.2.10 to
+  3.3.2.
+
 .. _deprecated-features-3.2:
 
 Features deprecated in 3.2
diff --git a/setup.cfg b/setup.cfg
index 829516df0a..e9a5c5c4ba 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -41,7 +41,7 @@ scripts = django/bin/django-admin.py
 include_package_data = true
 zip_safe = false
 install_requires =
-    asgiref >= 3.2.10
+    asgiref >= 3.3.2, < 4
     pytz
     sqlparse >= 0.2.2
 
diff --git a/tests/requirements/py3.txt b/tests/requirements/py3.txt
index 6488ab6a7d..af06c4e5f6 100644
--- a/tests/requirements/py3.txt
+++ b/tests/requirements/py3.txt
@@ -1,4 +1,4 @@
-asgiref >= 3.2.10
+asgiref >= 3.3.2
 argon2-cffi >= 16.1.0
 backports.zoneinfo; python_version < '3.9'
 bcrypt