diff --git a/docs/advanced_topics/add_to_django_project.rst b/docs/advanced_topics/add_to_django_project.rst
index 53d06edb39..1d5cf02e55 100644
--- a/docs/advanced_topics/add_to_django_project.rst
+++ b/docs/advanced_topics/add_to_django_project.rst
@@ -40,7 +40,7 @@ Middleware (``settings.py``)
     'wagtail.contrib.redirects.middleware.RedirectMiddleware',
   ]
 
-Wagtail requires several common Django middleware modules to work and cover basic security. Wagtail provides its own middleware to cover these tasks:
+Wagtail depends on the default set of Django middleware modules, to cover basic security and functionality such as login sessions. One additional middleware module is provided:
 
 ``RedirectMiddleware``
   Wagtail provides a simple interface for adding arbitrary redirects to your site and this module makes it happen.
diff --git a/wagtail/core/middleware.py b/wagtail/core/middleware.py
index 923f47b947..74888ba222 100644
--- a/wagtail/core/middleware.py
+++ b/wagtail/core/middleware.py
@@ -5,18 +5,20 @@ from wagtail.core.models import Site
 from wagtail.utils.deprecation import RemovedInWagtail211Warning
 
 
+warnings.warn(
+    'wagtail.core.middleware.SiteMiddleware and the use of request.site is deprecated. '
+    'Please update your code to use Site.get_for_request(request) in place of request.site, '
+    'and remove wagtail.core.middleware.SiteMiddleware from MIDDLEWARES',
+    RemovedInWagtail211Warning
+)
+
+
 class SiteMiddleware(MiddlewareMixin):
     def process_request(self, request):
         """
         Set request.site to contain the Site object responsible for handling this request,
         according to hostname matching rules
         """
-        warnings.warn(
-            'Wagtail SiteMiddleware and the use of request.site is deprecated '
-            'and will be removed in Wagtail 2.11. Update your middleware settings.',
-            RemovedInWagtail211Warning, stacklevel=2
-        )
-
         try:
             request.site = Site.find_for_request(request)
         except Site.DoesNotExist: