diff --git a/quinn-proto/src/connection.rs b/quinn-proto/src/connection.rs
index 26f3ed0ab..1c4fa9792 100644
--- a/quinn-proto/src/connection.rs
+++ b/quinn-proto/src/connection.rs
@@ -2871,21 +2871,7 @@ impl Connection {
         debug_assert!(self.side.is_client());
         debug!(self.log, "0-RTT rejected");
         self.accepted_0rtt = false;
-        // Reset all outgoing streams
-        for i in 0..self.streams.next_bi {
-            self.streams
-                .streams
-                .remove(&StreamId::new(self.side, Directionality::Bi, i))
-                .unwrap();
-        }
-        self.streams.next_bi = 0;
-        for i in 0..self.streams.next_uni {
-            self.streams
-                .streams
-                .remove(&StreamId::new(self.side, Directionality::Uni, i))
-                .unwrap();
-        }
-        self.streams.next_uni = 0;
+        self.streams.reset(self.side);
         // Discard already-queued frames
         self.space_mut(SpaceId::Data).pending = Retransmits::default();
         // Discard 0-RTT packets
diff --git a/quinn-proto/src/stream.rs b/quinn-proto/src/stream.rs
index 893ba0261..06d009603 100644
--- a/quinn-proto/src/stream.rs
+++ b/quinn-proto/src/stream.rs
@@ -88,6 +88,22 @@ impl Streams {
         }
     }
 
+    pub fn reset(&mut self, side: Side) {
+        // Reset all outgoing streams
+        for i in 0..self.next_bi {
+            self.streams
+                .remove(&StreamId::new(side, Directionality::Bi, i))
+                .unwrap();
+        }
+        self.next_bi = 0;
+        for i in 0..self.next_uni {
+            self.streams
+                .remove(&StreamId::new(side, Directionality::Uni, i))
+                .unwrap();
+        }
+        self.next_uni = 0;
+    }
+
     pub fn read(&mut self, id: StreamId, buf: &mut [u8]) -> Result<(usize, bool), ReadError> {
         let rs = self.get_recv_mut(id).ok_or(ReadError::UnknownStream)?;
         Ok((rs.read(buf)?, rs.receiving_unknown_size()))