diff --git a/docs/internals/contributing/writing-code/unit-tests.txt b/docs/internals/contributing/writing-code/unit-tests.txt
index 087f64205b..c37efc09eb 100644
--- a/docs/internals/contributing/writing-code/unit-tests.txt
+++ b/docs/internals/contributing/writing-code/unit-tests.txt
@@ -275,7 +275,7 @@ dependencies:
 
 *  aiosmtpd_
 *  argon2-cffi_ 19.1.0+
-*  asgiref_ 3.3.2+ (required)
+*  asgiref_ 3.4.1+ (required)
 *  bcrypt_
 *  colorama_
 *  docutils_
diff --git a/docs/releases/4.0.txt b/docs/releases/4.0.txt
index 89936640b7..9d9b18583c 100644
--- a/docs/releases/4.0.txt
+++ b/docs/releases/4.0.txt
@@ -582,6 +582,9 @@ Miscellaneous
   :attr:`django.utils.timezone.utc` is changed to alias
   :attr:`datetime.timezone.utc`.
 
+* The minimum supported version of ``asgiref`` is increased from 3.3.2 to
+  3.4.1.
+
 .. _deprecated-features-4.0:
 
 Features deprecated in 4.0
diff --git a/setup.cfg b/setup.cfg
index 1f00fa9471..924824e8be 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -38,7 +38,7 @@ packages = find:
 include_package_data = true
 zip_safe = false
 install_requires =
-    asgiref >= 3.3.2
+    asgiref >= 3.4.1, < 4
     backports.zoneinfo; python_version<"3.9"
     sqlparse >= 0.2.2
     tzdata; sys_platform == 'win32'
diff --git a/tests/requirements/py3.txt b/tests/requirements/py3.txt
index 3b73b17b24..dccda6b8c3 100644
--- a/tests/requirements/py3.txt
+++ b/tests/requirements/py3.txt
@@ -1,5 +1,5 @@
 aiosmtpd
-asgiref >= 3.3.2
+asgiref >= 3.4.1
 argon2-cffi >= 16.1.0
 backports.zoneinfo; python_version < '3.9'
 bcrypt