diff --git a/quinn-proto/src/lib.rs b/quinn-proto/src/lib.rs
index 19ca29335..e200eaf3e 100644
--- a/quinn-proto/src/lib.rs
+++ b/quinn-proto/src/lib.rs
@@ -89,12 +89,14 @@ pub enum Side {
 
 impl Side {
     #[inline]
-    fn is_client(self) -> bool {
+    /// Shorthand for `self == Side::Client`
+    pub fn is_client(self) -> bool {
         self == Side::Client
     }
 
     #[inline]
-    fn is_server(self) -> bool {
+    /// Shorthand for `self == Side::Server`
+    pub fn is_server(self) -> bool {
         self == Side::Server
     }
 }
diff --git a/quinn/src/connection.rs b/quinn/src/connection.rs
index dc084ec25..6767d38a2 100644
--- a/quinn/src/connection.rs
+++ b/quinn/src/connection.rs
@@ -171,7 +171,10 @@ impl Connection {
         {
             let mut conn = self.0.lock().unwrap();
             if let Some(x) = conn.inner.open(Directionality::Uni) {
-                let _ = send.send(Ok((x, conn.inner.is_handshaking())));
+                let _ = send.send(Ok((
+                    x,
+                    conn.inner.side().is_client() && conn.inner.is_handshaking(),
+                )));
             } else {
                 conn.uni_opening.push_back(send);
                 // We don't notify the driver here because there's no way to ask the peer for more
@@ -194,7 +197,10 @@ impl Connection {
         {
             let mut conn = self.0.lock().unwrap();
             if let Some(x) = conn.inner.open(Directionality::Bi) {
-                let _ = send.send(Ok((x, conn.inner.is_handshaking())));
+                let _ = send.send(Ok((
+                    x,
+                    conn.inner.side().is_client() && conn.inner.is_handshaking(),
+                )));
             } else {
                 conn.bi_opening.push_back(send);
                 // We don't notify the driver here because there's no way to ask the peer for more