diff --git a/quinn-h3/src/client.rs b/quinn-h3/src/client.rs
index 93a692b52..54705f20a 100644
--- a/quinn-h3/src/client.rs
+++ b/quinn-h3/src/client.rs
@@ -91,6 +91,7 @@ use crate::{
     proto::{headers::Header, settings::Settings, ErrorCode},
     Error, SendData, ZeroRttAccepted,
 };
+use futures_util::future;
 
 /// Configure and build a new HTTP/3 client
 ///
@@ -663,19 +664,39 @@ impl RecvResponse {
         }
     }
 
-    /// Cancel a HTTP/3 response reception
+    /// Cancel an HTTP/3 response reception
     ///
     /// Server will receive a request error with `REQUEST_CANCELLED` code. Any call on any
     /// object related with this request will fail.
-    pub fn cancel(&mut self) {
-        if let Some(recv) = self.recv.as_mut() {
-            self.conn
-                .h3
-                .lock()
-                .unwrap()
-                .cancel_request(self.stream_id.unwrap());
-            recv.reset(ErrorCode::REQUEST_CANCELLED);
+    pub async fn cancel(&mut self) {
+        let stream_id = match self.state {
+            RecvResponseState::Finished => None,
+            RecvResponseState::Opening(ref mut o) => {
+                future::poll_fn(|cx| {
+                    Poll::Ready(match o.poll_unpin(cx) {
+                        Poll::Ready(Ok((mut r, i))) => {
+                            let _ = r.stop(ErrorCode::REQUEST_CANCELLED.into());
+                            Some(i)
+                        }
+                        _ => None,
+                    })
+                })
+                .await
+            }
+            RecvResponseState::Receiving => {
+                self.recv
+                    .take()
+                    .unwrap()
+                    .reset(ErrorCode::REQUEST_CANCELLED);
+                self.stream_id.take()
+            }
+        };
+
+        if let Some(id) = stream_id {
+            self.conn.h3.lock().unwrap().cancel_request(id);
         }
+
+        self.state = RecvResponseState::Finished;
     }
 }
 
diff --git a/quinn-h3/src/tests/mod.rs b/quinn-h3/src/tests/mod.rs
index 2ca948fe1..8370878a2 100644
--- a/quinn-h3/src/tests/mod.rs
+++ b/quinn-h3/src/tests/mod.rs
@@ -119,13 +119,12 @@ async fn client_cancel_response() {
             .await
             .expect("accept");
         let recv_req = incoming_req.next().await.expect("wait request");
-        delay_for(Duration::from_millis(25)).await;
         let (_, mut sender) = recv_req.await.expect("recv_req");
         sender
             .send_response(
                 Response::builder()
                     .status(StatusCode::OK)
-                    .body(Body::from(()))
+                    .body(Body::from("a".repeat(1024 * 1024 * 100).as_ref()))
                     .unwrap(),
             )
             .await
@@ -133,10 +132,9 @@ async fn client_cancel_response() {
     });
 
     let conn = helper.make_connection().await;
-    delay_for(Duration::from_millis(50)).await;
     let (req, mut resp) = conn.send_request(get("/"));
     req.await.unwrap();
-    resp.cancel();
+    resp.cancel().await;
 
     assert_matches!(
         timeout_join(server_handle).await,