diff --git a/src/flask/app.py b/src/flask/app.py
index 3a4df366..348bc7f7 100644
--- a/src/flask/app.py
+++ b/src/flask/app.py
@@ -1457,17 +1457,26 @@ class Flask(Scaffold):
         )
 
     def raise_routing_exception(self, request: Request) -> "te.NoReturn":
-        """Exceptions that are recording during routing are reraised with
-        this method.  During debug we are not reraising redirect requests
-        for non ``GET``, ``HEAD``, or ``OPTIONS`` requests and we're raising
-        a different error instead to help debug situations.
+        """Intercept routing exceptions and possibly do something else.
 
+        In debug mode, intercept a routing redirect and replace it with
+        an error if the body will be discarded.
+
+        With modern Werkzeug this shouldn't occur, since it now uses a
+        308 status which tells the browser to resend the method and
+        body.
+
+        .. versionchanged:: 2.1
+            Don't intercept 307 and 308 redirects.
+
+        :meta private:
         :internal:
         """
         if (
             not self.debug
             or not isinstance(request.routing_exception, RequestRedirect)
-            or request.method in ("GET", "HEAD", "OPTIONS")
+            or request.routing_exception.code in {307, 308}
+            or request.method in {"GET", "HEAD", "OPTIONS"}
         ):
             raise request.routing_exception  # type: ignore
 
diff --git a/src/flask/debughelpers.py b/src/flask/debughelpers.py
index 212f7d7e..2d95d2e9 100644
--- a/src/flask/debughelpers.py
+++ b/src/flask/debughelpers.py
@@ -41,35 +41,33 @@ class DebugFilesKeyError(KeyError, AssertionError):
 
 
 class FormDataRoutingRedirect(AssertionError):
-    """This exception is raised by Flask in debug mode if it detects a
-    redirect caused by the routing system when the request method is not
-    GET, HEAD or OPTIONS.  Reasoning: form data will be dropped.
+    """This exception is raised in debug mode if a routing redirect
+    would cause the browser to drop the method or body. This happens
+    when method is not GET, HEAD or OPTIONS and the status code is not
+    307 or 308.
     """
 
     def __init__(self, request):
         exc = request.routing_exception
         buf = [
-            f"A request was sent to this URL ({request.url}) but a"
-            " redirect was issued automatically by the routing system"
-            f" to {exc.new_url!r}."
+            f"A request was sent to '{request.url}', but routing issued"
+            f" a redirect to the canonical URL '{exc.new_url}'."
         ]
 
-        # In case just a slash was appended we can be extra helpful
-        if f"{request.base_url}/" == exc.new_url.split("?")[0]:
+        if f"{request.base_url}/" == exc.new_url.partition("?")[0]:
             buf.append(
-                "  The URL was defined with a trailing slash so Flask"
-                " will automatically redirect to the URL with the"
-                " trailing slash if it was accessed without one."
+                " The URL was defined with a trailing slash. Flask"
+                " will redirect to the URL with a trailing slash if it"
+                " was accessed without one."
             )
 
         buf.append(
-            "  Make sure to directly send your"
-            f" {request.method}-request to this URL since we can't make"
-            " browsers or HTTP clients redirect with form data reliably"
-            " or without user interaction."
+            " Send requests to the canonical URL, or use 307 or 308 for"
+            " routing redirects. Otherwise, browsers will drop form"
+            " data.\n\n"
+            "This exception is only raised in debug mode."
         )
-        buf.append("\n\nNote: this exception is only raised in debug mode")
-        AssertionError.__init__(self, "".join(buf).encode("utf-8"))
+        super().__init__("".join(buf))
 
 
 def attach_enctype_error_multidict(request):
diff --git a/tests/test_basic.py b/tests/test_basic.py
index c5b83c7c..2a177e9a 100644
--- a/tests/test_basic.py
+++ b/tests/test_basic.py
@@ -15,6 +15,7 @@ from werkzeug.exceptions import Forbidden
 from werkzeug.exceptions import NotFound
 from werkzeug.http import parse_date
 from werkzeug.routing import BuildError
+from werkzeug.routing import RequestRedirect
 
 import flask
 
@@ -1724,28 +1725,29 @@ def test_before_first_request_functions_concurrent(app, client):
     assert app.got_first_request
 
 
-def test_routing_redirect_debugging(app, client):
-    app.debug = True
-
+def test_routing_redirect_debugging(monkeypatch, app, client):
     @app.route("/foo/", methods=["GET", "POST"])
     def foo():
         return "success"
 
-    with client:
-        with pytest.raises(AssertionError) as e:
-            client.post("/foo", data={})
-        assert "http://localhost/foo/" in str(e.value)
-        assert "Make sure to directly send your POST-request to this URL" in str(
-            e.value
-        )
-
-        rv = client.get("/foo", data={}, follow_redirects=True)
-        assert rv.data == b"success"
-
     app.debug = False
+    rv = client.post("/foo", data={}, follow_redirects=True)
+    assert rv.data == b"success"
+
+    app.debug = True
+
     with client:
         rv = client.post("/foo", data={}, follow_redirects=True)
         assert rv.data == b"success"
+        rv = client.get("/foo", data={}, follow_redirects=True)
+        assert rv.data == b"success"
+
+    monkeypatch.setattr(RequestRedirect, "code", 301)
+
+    with client, pytest.raises(AssertionError) as e:
+        client.post("/foo", data={})
+
+    assert "canonical URL 'http://localhost/foo/'" in str(e.value)
 
 
 def test_route_decorator_custom_endpoint(app, client):