diff --git a/quinn/src/connection.rs b/quinn/src/connection.rs
index 6faba3511d..017802a140 100644
--- a/quinn/src/connection.rs
+++ b/quinn/src/connection.rs
@@ -327,23 +327,8 @@ impl Connection {
     /// consequence, the peer won't be notified that a stream has been opened until the stream is
     /// actually used.
     pub async fn open_uni(&self) -> Result<SendStream, ConnectionError> {
-        loop {
-            let opening;
-            {
-                let mut conn = self.0.lock("open_uni");
-                if let Some(ref e) = conn.error {
-                    return Err(e.clone());
-                }
-                if let Some(id) = conn.inner.streams().open(Dir::Uni) {
-                    let is_0rtt = conn.inner.side().is_client() && conn.inner.is_handshaking();
-                    drop(conn); // Release lock for clone
-                    return Ok(SendStream::new(self.0.clone(), id, is_0rtt));
-                }
-                opening = conn.uni_opening.clone();
-                opening.notified() // Must be called, but not awaited, while the connection lock is held
-            }
-            .await
-        }
+        let (id, is_0rtt) = self.open(Dir::Uni).await?;
+        Ok(SendStream::new(self.0.clone(), id, is_0rtt))
     }
 
     /// Initiate a new outgoing bidirectional stream.
@@ -352,22 +337,26 @@ impl Connection {
     /// consequence, the peer won't be notified that a stream has been opened until the stream is
     /// actually used.
     pub async fn open_bi(&self) -> Result<(SendStream, RecvStream), ConnectionError> {
+        let (id, is_0rtt) = self.open(Dir::Bi).await?;
+        Ok((
+            SendStream::new(self.0.clone(), id, is_0rtt),
+            RecvStream::new(self.0.clone(), id, is_0rtt),
+        ))
+    }
+
+    async fn open(&self, dir: Dir) -> Result<(StreamId, bool), ConnectionError> {
         loop {
             let opening;
             {
-                let mut conn = self.0.lock("open_bi");
+                let mut conn = self.0.lock("open");
                 if let Some(ref e) = conn.error {
                     return Err(e.clone());
                 }
-                if let Some(id) = conn.inner.streams().open(Dir::Bi) {
+                if let Some(id) = conn.inner.streams().open(dir) {
                     let is_0rtt = conn.inner.side().is_client() && conn.inner.is_handshaking();
-                    drop(conn); // Release lock for clone
-                    return Ok((
-                        SendStream::new(self.0.clone(), id, is_0rtt),
-                        RecvStream::new(self.0.clone(), id, is_0rtt),
-                    ));
+                    return Ok((id, is_0rtt));
                 }
-                opening = conn.bi_opening.clone();
+                opening = conn.stream_opening[dir as usize].clone();
                 opening.notified() // Must be called, but not awaited, while the connection lock is held
             }
             .await;
@@ -677,8 +666,7 @@ impl ConnectionRef {
             endpoint_events,
             blocked_writers: FxHashMap::default(),
             blocked_readers: FxHashMap::default(),
-            uni_opening: Arc::new(Notify::new()),
-            bi_opening: Arc::new(Notify::new()),
+            stream_opening: [Arc::new(Notify::new()), Arc::new(Notify::new())],
             incoming_uni_streams_reader: None,
             incoming_bi_streams_reader: None,
             datagram_reader: None,
@@ -738,8 +726,7 @@ pub struct ConnectionInner {
     endpoint_events: mpsc::UnboundedSender<(ConnectionHandle, EndpointEvent)>,
     pub(crate) blocked_writers: FxHashMap<StreamId, Waker>,
     pub(crate) blocked_readers: FxHashMap<StreamId, Waker>,
-    uni_opening: Arc<Notify>,
-    bi_opening: Arc<Notify>,
+    stream_opening: [Arc<Notify>; 2],
     incoming_uni_streams_reader: Option<Waker>,
     incoming_bi_streams_reader: Option<Waker>,
     datagram_reader: Option<Waker>,
@@ -862,11 +849,7 @@ impl ConnectionInner {
                     }
                 }
                 Stream(StreamEvent::Available { dir }) => {
-                    let tasks = match dir {
-                        Dir::Uni => &mut self.uni_opening,
-                        Dir::Bi => &mut self.bi_opening,
-                    };
-                    tasks.notify_one();
+                    self.stream_opening[dir as usize].notify_one();
                 }
                 Stream(StreamEvent::Finished { id }) => {
                     if let Some(finishing) = self.finishing.remove(&id) {
@@ -958,8 +941,8 @@ impl ConnectionInner {
         for (_, reader) in self.blocked_readers.drain() {
             reader.wake()
         }
-        self.uni_opening.notify_waiters();
-        self.bi_opening.notify_waiters();
+        self.stream_opening[Dir::Uni as usize].notify_waiters();
+        self.stream_opening[Dir::Bi as usize].notify_waiters();
         if let Some(x) = self.incoming_uni_streams_reader.take() {
             x.wake();
         }