diff --git a/src/body/body.rs b/src/body/body.rs
index 097615ca..33f4189c 100644
--- a/src/body/body.rs
+++ b/src/body/body.rs
@@ -272,7 +272,7 @@ impl Body {
             },
             Kind::H2 {
                 recv: ref mut h2, ..
-            } => match ready!(Pin::new(&mut *h2).poll_next(cx)) {
+            } => match ready!(h2.poll_data(cx)) {
                 Some(Ok(bytes)) => {
                     let _ = h2.release_capacity().release_capacity(bytes.len());
                     Poll::Ready(Some(Ok(Chunk::from(bytes))))
diff --git a/src/proto/h2/server.rs b/src/proto/h2/server.rs
index 23600cc3..72047849 100644
--- a/src/proto/h2/server.rs
+++ b/src/proto/h2/server.rs
@@ -169,7 +169,7 @@ where
                 }
 
                 // When the service is ready, accepts an incoming request.
-                match ready!(Pin::new(&mut self.conn).poll_next(cx)) {
+                match ready!(self.conn.poll_accept(cx)) {
                     Some(Ok((req, respond))) => {
                         trace!("incoming request");
                         let content_length = content_length_parse_all(req.headers());