diff --git a/docs/content/exporting/http/fastapi-gunicorn.md b/docs/content/exporting/http/fastapi-gunicorn.md
index 6d0ec329..acf5312a 100644
--- a/docs/content/exporting/http/fastapi-gunicorn.md
+++ b/docs/content/exporting/http/fastapi-gunicorn.md
@@ -16,9 +16,18 @@ app = FastAPI(debug=False)
 
 # Add prometheus asgi middleware to route /metrics requests
 metrics_app = make_asgi_app()
-app.mount("/metrics", metrics_app)
+app.add_route("/metrics", metrics_app)
 ```
 
+`add_route` serves the metrics at exactly `/metrics`. Alternatively, the app can
+be mounted with `app.mount("/metrics", metrics_app)`. A mount is a path prefix,
+so FastAPI serves the metrics at `/metrics/` and redirects requests for
+`/metrics` there with a `307 Temporary Redirect`.
+
+Using `make_asgi_app()` with `add_route` requires a `prometheus_client` release
+newer than 0.26.0. On 0.26.0 and earlier, `add_route` fails with a `TypeError`,
+so use `app.mount("/metrics", metrics_app)` instead.
+
 For Multiprocessing support, use this modified code snippet. Full multiprocessing instructions are provided [here]({{< ref "/multiprocess" >}}).
 
 ```python
@@ -35,7 +44,7 @@ def make_metrics_app():
 
 
 metrics_app = make_metrics_app()
-app.mount("/metrics", metrics_app)
+app.add_route("/metrics", metrics_app)
 ```
 
 Run the example web application like this
diff --git a/prometheus_client/asgi.py b/prometheus_client/asgi.py
index 6e527ca9..e67ec1be 100644
--- a/prometheus_client/asgi.py
+++ b/prometheus_client/asgi.py
@@ -5,6 +5,24 @@
 from .registry import Collector, REGISTRY
 
 
+class _ASGIApp:
+    """ASGI application object wrapping the metrics handler.
+
+    Frameworks such as Starlette and FastAPI treat a plain function passed to
+    ``add_route`` as a ``request -> response`` endpoint, but any other callable
+    as a raw ASGI application. Returning an instance rather than a bare
+    function allows ``app.add_route("/metrics", make_asgi_app())`` to serve
+    metrics at ``/metrics`` exactly, without the trailing-slash redirect that
+    ``app.mount("/metrics", ...)`` produces.
+    """
+
+    def __init__(self, app: Callable) -> None:
+        self._app = app
+
+    async def __call__(self, scope: dict, receive: Callable, send: Callable) -> None:
+        await self._app(scope, receive, send)
+
+
 def make_asgi_app(registry: Collector = REGISTRY, disable_compression: bool = False) -> Callable:
     """Create a ASGI app which serves the metrics from a registry."""
 
@@ -37,4 +55,4 @@ async def prometheus_app(scope, receive, send):
             )
             await send({"type": "http.response.body", "body": output})
 
-    return prometheus_app
+    return _ASGIApp(prometheus_app)
diff --git a/tests/test_asgi.py b/tests/test_asgi.py
index 028dac2b..803f6847 100644
--- a/tests/test_asgi.py
+++ b/tests/test_asgi.py
@@ -1,12 +1,20 @@
 import asyncio
 import gzip
-from unittest import TestCase
+import inspect
+from unittest import skipUnless, TestCase
 
 from asgiref.testing import ApplicationCommunicator
 
 from prometheus_client import CollectorRegistry, Counter, make_asgi_app
 from prometheus_client.exposition import CONTENT_TYPE_PLAIN_0_0_4
 
+try:
+    from starlette.applications import Starlette  # type: ignore[import]
+
+    HAVE_STARLETTE = True
+except ImportError:
+    HAVE_STARLETTE = False
+
 
 def setup_testing_defaults(scope):
     scope.update(
@@ -257,3 +265,45 @@ def test_qs_parsing_multi(self):
         self.loop.run_until_complete(
             self.communicator.wait()
         )
+
+    def test_app_is_asgi_application_object(self):
+        """make_asgi_app returns a callable object rather than a plain function.
+
+        Frameworks such as Starlette treat plain functions passed to add_route
+        as request/response endpoints, and any other callable as an ASGI app.
+        """
+        app = make_asgi_app(self.registry)
+        self.assertFalse(inspect.isfunction(app))
+        self.assertFalse(inspect.ismethod(app))
+        self.assertTrue(inspect.iscoroutinefunction(app.__call__))
+        # It is still a valid ASGI application when called directly.
+        self.increment_metrics("counter", "A counter", 2)
+        self.seed_app(app)
+        self.send_default_request()
+        outputs = self.get_all_output()
+        self.assert_outputs(outputs, "counter", "A counter", 2, compressed=False)
+
+    def _run_starlette(self, starlette_app, path):
+        self.scope["path"] = path
+        self.scope["raw_path"] = path.encode("utf-8")
+        self.seed_app(starlette_app)
+        self.send_default_request()
+        return self.get_all_output()
+
+    @skipUnless(HAVE_STARLETTE, "Don't have starlette installed.")
+    def test_starlette_add_route(self):
+        """add_route serves metrics at the exact path, without a redirect."""
+        self.increment_metrics("counter", "A counter", 2)
+        starlette_app = Starlette()
+        starlette_app.add_route("/metrics", make_asgi_app(self.registry))
+        outputs = self._run_starlette(starlette_app, "/metrics")
+        self.assert_outputs(outputs, "counter", "A counter", 2, compressed=False)
+
+    @skipUnless(HAVE_STARLETTE, "Don't have starlette installed.")
+    def test_starlette_mount(self):
+        """Mounting the app as a path prefix keeps working."""
+        self.increment_metrics("counter", "A counter", 2)
+        starlette_app = Starlette()
+        starlette_app.mount("/metrics", make_asgi_app(self.registry))
+        outputs = self._run_starlette(starlette_app, "/metrics/")
+        self.assert_outputs(outputs, "counter", "A counter", 2, compressed=False)