diff --git a/quinn/src/endpoint.rs b/quinn/src/endpoint.rs
index d0dcfaf28..6de61f185 100644
--- a/quinn/src/endpoint.rs
+++ b/quinn/src/endpoint.rs
@@ -3,6 +3,7 @@ use std::{
     future::Future,
     io,
     io::IoSliceMut,
+    mem,
     net::{SocketAddr, SocketAddrV6},
     pin::Pin,
     str,
@@ -215,7 +216,7 @@ impl Endpoint {
         let addr = socket.local_addr()?;
         let socket = self.runtime.wrap_udp_socket(socket)?;
         let mut inner = self.inner.state.lock().unwrap();
-        inner.socket = socket;
+        inner.abandoned_socket = Some(mem::replace(&mut inner.socket, socket));
         inner.ipv6 = addr.is_ipv6();
 
         // Generate some activity so peers notice the rebind
@@ -419,6 +420,9 @@ impl EndpointInner {
 pub(crate) struct State {
     socket: Arc<dyn AsyncUdpSocket>,
     inner: proto::Endpoint,
+    /// During an active migration, abandoned_socket receives traffic
+    /// until the first packet arrives on the new socket.
+    abandoned_socket: Option<Arc<dyn AsyncUdpSocket>>,
     recv_state: RecvState,
     driver: Option<Waker>,
     ipv6: bool,
@@ -439,11 +443,27 @@ pub(crate) struct Shared {
 impl State {
     fn drive_recv(&mut self, cx: &mut Context, now: Instant) -> Result<bool, io::Error> {
         self.recv_state.recv_limiter.start_cycle();
-        let poll_res = self
-            .recv_state
-            .poll_socket(cx, &mut self.inner, &*self.socket, now)?;
+        let mut poll_res = PollResult::default();
+        if let Some(socket) = &self.abandoned_socket {
+            poll_res = self
+                .recv_state
+                .poll_socket(cx, &mut self.inner, &**socket, now);
+        };
+        if !poll_res.keep_going {
+            poll_res = self
+                .recv_state
+                .poll_socket(cx, &mut self.inner, &*self.socket, now);
+            if poll_res.received_connection_packet {
+                // Traffic has arrived on self.socket, therefore
+                // there is no need for the abandoned one anymore.
+                self.abandoned_socket = None;
+            }
+        }
         self.recv_state.recv_limiter.finish_cycle();
-        Ok(poll_res)
+        match poll_res.error {
+            None => Ok(poll_res.keep_going),
+            Some(err) => Err(err),
+        }
     }
 
     fn drive_send(&mut self, cx: &mut Context) -> Result<bool, io::Error> {
@@ -689,6 +709,7 @@ impl EndpointRef {
             state: Mutex::new(State {
                 socket,
                 inner,
+                abandoned_socket: None,
                 ipv6,
                 events,
                 driver: None,
@@ -731,6 +752,7 @@ impl std::ops::Deref for EndpointRef {
         &self.0
     }
 }
+
 /// State directly involved in handling incoming packets
 #[derive(Debug)]
 struct RecvState {
@@ -772,7 +794,8 @@ impl RecvState {
         endpoint: &mut proto::Endpoint,
         socket: &dyn AsyncUdpSocket,
         now: Instant,
-    ) -> Result<bool, io::Error> {
+    ) -> PollResult {
+        let mut received_connection_packet = false;
         let mut metas = [RecvMeta::default(); BATCH_SIZE];
         let mut iovs: [IoSliceMut; BATCH_SIZE] = {
             let mut bufs = self
@@ -813,6 +836,7 @@ impl RecvState {
                                 }
                                 Some(DatagramEvent::ConnectionEvent(handle, event)) => {
                                     // Ignoring errors from dropped connections that haven't yet been cleaned up
+                                    received_connection_packet = true;
                                     let _ = self
                                         .connections
                                         .senders
@@ -829,7 +853,11 @@ impl RecvState {
                     }
                 }
                 Poll::Pending => {
-                    break;
+                    return PollResult {
+                        received_connection_packet,
+                        keep_going: false,
+                        error: None,
+                    };
                 }
                 // Ignore ECONNRESET as it's undefined in QUIC and may be injected by an
                 // attacker
@@ -837,14 +865,27 @@ impl RecvState {
                     continue;
                 }
                 Poll::Ready(Err(e)) => {
-                    return Err(e);
+                    return PollResult {
+                        received_connection_packet,
+                        keep_going: false,
+                        error: Some(e),
+                    };
                 }
             }
             if !self.recv_limiter.allow_work() {
-                return Ok(true);
+                return PollResult {
+                    received_connection_packet,
+                    keep_going: true,
+                    error: None,
+                };
             }
         }
-
-        Ok(false)
     }
 }
+
+#[derive(Default)]
+struct PollResult {
+    received_connection_packet: bool,
+    keep_going: bool,
+    error: Option<io::Error>,
+}