diff --git a/CHANGES/6594.feature b/CHANGES/6594.feature
new file mode 100644
index 00000000000..4edadb07b3a
--- /dev/null
+++ b/CHANGES/6594.feature
@@ -0,0 +1,2 @@
+Exported ``HTTPMove`` which can be used to catch any redirection request
+that has a location -- :user:`dreamsorcerer`.
diff --git a/aiohttp/web.py b/aiohttp/web.py
index 4db66cda8bd..7be9d345226 100644
--- a/aiohttp/web.py
+++ b/aiohttp/web.py
@@ -44,6 +44,7 @@
     HTTPLengthRequired as HTTPLengthRequired,
     HTTPMethodNotAllowed as HTTPMethodNotAllowed,
     HTTPMisdirectedRequest as HTTPMisdirectedRequest,
+    HTTPMove as HTTPMove,
     HTTPMovedPermanently as HTTPMovedPermanently,
     HTTPMultipleChoices as HTTPMultipleChoices,
     HTTPNetworkAuthenticationRequired as HTTPNetworkAuthenticationRequired,
@@ -177,6 +178,7 @@
     "HTTPLengthRequired",
     "HTTPMethodNotAllowed",
     "HTTPMisdirectedRequest",
+    "HTTPMove",
     "HTTPMovedPermanently",
     "HTTPMultipleChoices",
     "HTTPNetworkAuthenticationRequired",
diff --git a/aiohttp/web_exceptions.py b/aiohttp/web_exceptions.py
index ae706a18062..4c0a10aa75a 100644
--- a/aiohttp/web_exceptions.py
+++ b/aiohttp/web_exceptions.py
@@ -18,6 +18,7 @@
     "HTTPNoContent",
     "HTTPResetContent",
     "HTTPPartialContent",
+    "HTTPMove",
     "HTTPMultipleChoices",
     "HTTPMovedPermanently",
     "HTTPFound",
@@ -160,7 +161,7 @@ class HTTPPartialContent(HTTPSuccessful):
 ############################################################
 
 
-class _HTTPMove(HTTPRedirection):
+class HTTPMove(HTTPRedirection):
     def __init__(
         self,
         location: StrOrURL,
@@ -184,21 +185,21 @@ def __init__(
         self.location = location
 
 
-class HTTPMultipleChoices(_HTTPMove):
+class HTTPMultipleChoices(HTTPMove):
     status_code = 300
 
 
-class HTTPMovedPermanently(_HTTPMove):
+class HTTPMovedPermanently(HTTPMove):
     status_code = 301
 
 
-class HTTPFound(_HTTPMove):
+class HTTPFound(HTTPMove):
     status_code = 302
 
 
 # This one is safe after a POST (the redirected location will be
 # retrieved with GET):
-class HTTPSeeOther(_HTTPMove):
+class HTTPSeeOther(HTTPMove):
     status_code = 303
 
 
@@ -208,16 +209,16 @@ class HTTPNotModified(HTTPRedirection):
     empty_body = True
 
 
-class HTTPUseProxy(_HTTPMove):
+class HTTPUseProxy(HTTPMove):
     # Not a move, but looks a little like one
     status_code = 305
 
 
-class HTTPTemporaryRedirect(_HTTPMove):
+class HTTPTemporaryRedirect(HTTPMove):
     status_code = 307
 
 
-class HTTPPermanentRedirect(_HTTPMove):
+class HTTPPermanentRedirect(HTTPMove):
     status_code = 308
 
 
diff --git a/aiohttp/web_middlewares.py b/aiohttp/web_middlewares.py
index 3a9d911c80e..cb24eec9107 100644
--- a/aiohttp/web_middlewares.py
+++ b/aiohttp/web_middlewares.py
@@ -2,7 +2,7 @@
 from typing import TYPE_CHECKING, Tuple, Type, TypeVar
 
 from .typedefs import Handler, Middleware
-from .web_exceptions import HTTPPermanentRedirect, _HTTPMove
+from .web_exceptions import HTTPMove, HTTPPermanentRedirect
 from .web_request import Request
 from .web_response import StreamResponse
 from .web_urldispatcher import SystemRoute
@@ -40,7 +40,7 @@ def normalize_path_middleware(
     append_slash: bool = True,
     remove_slash: bool = False,
     merge_slashes: bool = True,
-    redirect_class: Type[_HTTPMove] = HTTPPermanentRedirect,
+    redirect_class: Type[HTTPMove] = HTTPPermanentRedirect,
 ) -> Middleware:
     """Factory for producing a middleware that normalizes the path of a request.