diff --git a/protocols/identify/CHANGELOG.md b/protocols/identify/CHANGELOG.md
index aa66a7af8b6..50b264e6f56 100644
--- a/protocols/identify/CHANGELOG.md
+++ b/protocols/identify/CHANGELOG.md
@@ -4,6 +4,8 @@
 
 - Update to `libp2p-swarm` `v0.37.0`.
 
+- Extend log message on second identify push stream with peer ID.
+
 # 0.36.1
 
 - Allow at most one inbound identify push stream.
diff --git a/protocols/identify/src/handler.rs b/protocols/identify/src/handler.rs
index 461e05a31e8..af4d7f8cba3 100644
--- a/protocols/identify/src/handler.rs
+++ b/protocols/identify/src/handler.rs
@@ -27,20 +27,48 @@ use futures::prelude::*;
 use futures_timer::Delay;
 use libp2p_core::either::{EitherError, EitherOutput};
 use libp2p_core::upgrade::{EitherUpgrade, InboundUpgrade, OutboundUpgrade, SelectUpgrade};
+use libp2p_core::{ConnectedPoint, PeerId};
 use libp2p_swarm::{
-    ConnectionHandler, ConnectionHandlerEvent, ConnectionHandlerUpgrErr, KeepAlive,
-    NegotiatedSubstream, SubstreamProtocol,
+    ConnectionHandler, ConnectionHandlerEvent, ConnectionHandlerUpgrErr, IntoConnectionHandler,
+    KeepAlive, NegotiatedSubstream, SubstreamProtocol,
 };
 use log::warn;
 use smallvec::SmallVec;
 use std::{io, pin::Pin, task::Context, task::Poll, time::Duration};
 
+pub struct IdentifyHandlerProto {
+    initial_delay: Duration,
+    interval: Duration,
+}
+
+impl IdentifyHandlerProto {
+    pub fn new(initial_delay: Duration, interval: Duration) -> Self {
+        IdentifyHandlerProto {
+            initial_delay,
+            interval,
+        }
+    }
+}
+
+impl IntoConnectionHandler for IdentifyHandlerProto {
+    type Handler = IdentifyHandler;
+
+    fn into_handler(self, remote_peer_id: &PeerId, _endpoint: &ConnectedPoint) -> Self::Handler {
+        IdentifyHandler::new(self.initial_delay, self.interval, *remote_peer_id)
+    }
+
+    fn inbound_protocol(&self) -> <Self::Handler as ConnectionHandler>::InboundProtocol {
+        SelectUpgrade::new(IdentifyProtocol, IdentifyPushProtocol::inbound())
+    }
+}
+
 /// Protocol handler for sending and receiving identification requests.
 ///
 /// Outbound requests are sent periodically. The handler performs expects
 /// at least one identification request to be answered by the remote before
 /// permitting the underlying connection to be closed.
 pub struct IdentifyHandler {
+    remote_peer_id: PeerId,
     inbound_identify_push: Option<BoxFuture<'static, Result<IdentifyInfo, UpgradeError>>>,
     /// Pending events to yield.
     events: SmallVec<
@@ -81,8 +109,9 @@ pub struct IdentifyPush(pub IdentifyInfo);
 
 impl IdentifyHandler {
     /// Creates a new `IdentifyHandler`.
-    pub fn new(initial_delay: Duration, interval: Duration) -> Self {
+    pub fn new(initial_delay: Duration, interval: Duration, remote_peer_id: PeerId) -> Self {
         IdentifyHandler {
+            remote_peer_id,
             inbound_identify_push: Default::default(),
             events: SmallVec::new(),
             trigger_next_identify: Delay::new(initial_delay),
@@ -120,8 +149,9 @@ impl ConnectionHandler for IdentifyHandler {
             EitherOutput::Second(fut) => {
                 if self.inbound_identify_push.replace(fut).is_some() {
                     warn!(
-                        "New inbound identify push stream while still upgrading previous one. \
-                        Replacing previous with new.",
+                        "New inbound identify push stream from {} while still \
+                         upgrading previous one. Replacing previous with new.",
+                        self.remote_peer_id,
                     );
                 }
             }
diff --git a/protocols/identify/src/identify.rs b/protocols/identify/src/identify.rs
index 5f5e468365f..f2d5ffd641d 100644
--- a/protocols/identify/src/identify.rs
+++ b/protocols/identify/src/identify.rs
@@ -18,7 +18,7 @@
 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
 // DEALINGS IN THE SOFTWARE.
 
-use crate::handler::{IdentifyHandler, IdentifyHandlerEvent, IdentifyPush};
+use crate::handler::{IdentifyHandlerEvent, IdentifyHandlerProto, IdentifyPush};
 use crate::protocol::{IdentifyInfo, ReplySubstream, UpgradeError};
 use futures::prelude::*;
 use libp2p_core::{
@@ -54,7 +54,7 @@ pub struct Identify {
     /// Pending replies to send.
     pending_replies: VecDeque<Reply>,
     /// Pending events to be emitted when polled.
-    events: VecDeque<NetworkBehaviourAction<IdentifyEvent, IdentifyHandler>>,
+    events: VecDeque<NetworkBehaviourAction<IdentifyEvent, IdentifyHandlerProto>>,
     /// Peers to which an active push with current information about
     /// the local peer should be sent.
     pending_push: HashSet<PeerId>,
@@ -208,11 +208,11 @@ impl Identify {
 }
 
 impl NetworkBehaviour for Identify {
-    type ConnectionHandler = IdentifyHandler;
+    type ConnectionHandler = IdentifyHandlerProto;
     type OutEvent = IdentifyEvent;
 
     fn new_handler(&mut self) -> Self::ConnectionHandler {
-        IdentifyHandler::new(self.config.initial_delay, self.config.interval)
+        IdentifyHandlerProto::new(self.config.initial_delay, self.config.interval)
     }
 
     fn inject_connection_established(
@@ -296,7 +296,7 @@ impl NetworkBehaviour for Identify {
         &mut self,
         peer_id: PeerId,
         connection: ConnectionId,
-        event: <Self::ConnectionHandler as ConnectionHandler>::OutEvent,
+        event: <<Self::ConnectionHandler as IntoConnectionHandler>::Handler as ConnectionHandler>::OutEvent,
     ) {
         match event {
             IdentifyHandlerEvent::Identified(mut info) => {