diff --git a/axum/src/serve/mod.rs b/axum/src/serve/mod.rs
index d003bdc5..b5b8b573 100644
--- a/axum/src/serve/mod.rs
+++ b/axum/src/serve/mod.rs
@@ -166,6 +166,33 @@ where
     }
 }
 
+#[cfg(all(feature = "tokio", any(feature = "http1", feature = "http2")))]
+impl<L, M, S> Serve<L, M, S>
+where
+    L: Listener,
+    L::Addr: Debug,
+    M: for<'a> Service<IncomingStream<'a, L>, Error = Infallible, Response = S> + Send + 'static,
+    for<'a> <M as Service<IncomingStream<'a, L>>>::Future: Send,
+    S: Service<Request, Response = Response, Error = Infallible> + Clone + Send + 'static,
+    S::Future: Send,
+{
+    async fn run(self) -> ! {
+        let Self {
+            mut listener,
+            mut make_service,
+            _marker,
+        } = self;
+
+        let (signal_tx, _signal_rx) = watch::channel(());
+        let (_close_tx, close_rx) = watch::channel(());
+
+        loop {
+            let (io, remote_addr) = listener.accept().await;
+            handle_connection(&mut make_service, &signal_tx, &close_rx, io, remote_addr).await;
+        }
+    }
+}
+
 #[cfg(all(feature = "tokio", any(feature = "http1", feature = "http2")))]
 impl<L, M, S> Debug for Serve<L, M, S>
 where
@@ -201,10 +228,7 @@ where
     type IntoFuture = private::ServeFuture;
 
     fn into_future(self) -> Self::IntoFuture {
-        private::ServeFuture(Box::pin(async move {
-            do_serve(self.listener, self.make_service, std::future::pending()).await;
-            Ok(())
-        }))
+        private::ServeFuture(Box::pin(async move { self.run().await }))
     }
 }
 
@@ -229,6 +253,57 @@ where
     }
 }
 
+#[cfg(all(feature = "tokio", any(feature = "http1", feature = "http2")))]
+impl<L, M, S, F> WithGracefulShutdown<L, M, S, F>
+where
+    L: Listener,
+    L::Addr: Debug,
+    M: for<'a> Service<IncomingStream<'a, L>, Error = Infallible, Response = S> + Send + 'static,
+    for<'a> <M as Service<IncomingStream<'a, L>>>::Future: Send,
+    S: Service<Request, Response = Response, Error = Infallible> + Clone + Send + 'static,
+    S::Future: Send,
+    F: Future<Output = ()> + Send + 'static,
+{
+    async fn run(self) {
+        let Self {
+            mut listener,
+            mut make_service,
+            signal,
+            _marker,
+        } = self;
+
+        let (signal_tx, signal_rx) = watch::channel(());
+        tokio::spawn(async move {
+            signal.await;
+            trace!("received graceful shutdown signal. Telling tasks to shutdown");
+            drop(signal_rx);
+        });
+
+        let (close_tx, close_rx) = watch::channel(());
+
+        loop {
+            let (io, remote_addr) = tokio::select! {
+                conn = listener.accept() => conn,
+                _ = signal_tx.closed() => {
+                    trace!("signal received, not accepting new connections");
+                    break;
+                }
+            };
+
+            handle_connection(&mut make_service, &signal_tx, &close_rx, io, remote_addr).await;
+        }
+
+        drop(close_rx);
+        drop(listener);
+
+        trace!(
+            "waiting for {} task(s) to finish",
+            close_tx.receiver_count()
+        );
+        close_tx.closed().await;
+    }
+}
+
 #[cfg(all(feature = "tokio", any(feature = "http1", feature = "http2")))]
 impl<L, M, S, F> Debug for WithGracefulShutdown<L, M, S, F>
 where
@@ -269,54 +344,12 @@ where
 
     fn into_future(self) -> Self::IntoFuture {
         private::ServeFuture(Box::pin(async move {
-            do_serve(self.listener, self.make_service, self.signal).await;
+            self.run().await;
             Ok(())
         }))
     }
 }
 
-#[cfg(all(feature = "tokio", any(feature = "http1", feature = "http2")))]
-async fn do_serve<L, M, F, S>(mut listener: L, mut make_service: M, signal: F)
-where
-    L: Listener,
-    L::Addr: Debug,
-    M: for<'a> Service<IncomingStream<'a, L>, Error = Infallible, Response = S> + Send + 'static,
-    for<'a> <M as Service<IncomingStream<'a, L>>>::Future: Send,
-    S: Service<Request, Response = Response, Error = Infallible> + Clone + Send + 'static,
-    S::Future: Send,
-    F: Future<Output = ()> + Send + 'static,
-{
-    let (signal_tx, signal_rx) = watch::channel(());
-    tokio::spawn(async move {
-        signal.await;
-        trace!("received graceful shutdown signal. Telling tasks to shutdown");
-        drop(signal_rx);
-    });
-
-    let (close_tx, close_rx) = watch::channel(());
-
-    loop {
-        let (io, remote_addr) = tokio::select! {
-            conn = listener.accept() => conn,
-            _ = signal_tx.closed() => {
-                trace!("signal received, not accepting new connections");
-                break;
-            }
-        };
-
-        handle_connection(&mut make_service, &signal_tx, &close_rx, io, remote_addr).await;
-    }
-
-    drop(close_rx);
-    drop(listener);
-
-    trace!(
-        "waiting for {} task(s) to finish",
-        close_tx.receiver_count()
-    );
-    close_tx.closed().await;
-}
-
 async fn handle_connection<L, M, S>(
     make_service: &mut M,
     signal_tx: &watch::Sender<()>,