diff --git a/go.mod b/go.mod
index c1a174b8..c0b0ac74 100644
--- a/go.mod
+++ b/go.mod
@@ -6,11 +6,11 @@ require (
 	github.com/ipfs/go-log/v2 v2.4.0
 	github.com/libp2p/go-addr-util v0.1.0
 	github.com/libp2p/go-conn-security-multistream v0.3.0
-	github.com/libp2p/go-libp2p-core v0.11.0
-	github.com/libp2p/go-libp2p-peerstore v0.4.0
+	github.com/libp2p/go-libp2p-core v0.13.0
+	github.com/libp2p/go-libp2p-peerstore v0.6.0
 	github.com/libp2p/go-libp2p-quic-transport v0.13.0
 	github.com/libp2p/go-libp2p-testing v0.5.0
-	github.com/libp2p/go-libp2p-transport-upgrader v0.5.0
+	github.com/libp2p/go-libp2p-transport-upgrader v0.6.0
 	github.com/libp2p/go-libp2p-yamux v0.5.0
 	github.com/libp2p/go-maddr-filter v0.1.0
 	github.com/libp2p/go-stream-muxer-multistream v0.3.0
diff --git a/go.sum b/go.sum
index d784ccbb..326329cb 100644
--- a/go.sum
+++ b/go.sum
@@ -217,12 +217,10 @@ github.com/ipfs/go-ds-badger v0.3.0/go.mod h1:1ke6mXNqeV8K3y5Ak2bAA0osoTfmxUdupV
 github.com/ipfs/go-ds-leveldb v0.5.0/go.mod h1:d3XG9RUDzQ6V4SHi8+Xgj9j1XuEk1z82lquxrVbml/Q=
 github.com/ipfs/go-ipfs-delay v0.0.0-20181109222059-70721b86a9a8/go.mod h1:8SP1YXK1M1kXuc4KJZINY3TQQ03J2rwBG9QfXmbRPrw=
 github.com/ipfs/go-log v0.0.1/go.mod h1:kL1d2/hzSpI0thNYjiKfjanbVNU+IIGA/WnNESY9leM=
+github.com/ipfs/go-log v1.0.4 h1:6nLQdX4W8P9yZZFH7mO+X/PzjN8Laozm/lMJ6esdgzY=
 github.com/ipfs/go-log v1.0.4/go.mod h1:oDCg2FkjogeFOhqqb+N39l2RpTNPL6F/StPkB3kPgcs=
-github.com/ipfs/go-log v1.0.5 h1:2dOuUCB1Z7uoczMWgAyDck5JLb72zHzrMnGnCNNbvY8=
-github.com/ipfs/go-log v1.0.5/go.mod h1:j0b8ZoR+7+R99LD9jZ6+AJsrzkPbSXbZfGakb5JPtIo=
 github.com/ipfs/go-log/v2 v2.0.5/go.mod h1:eZs4Xt4ZUJQFM3DlanGhy7TkwwawCZcSByscwkWG+dw=
 github.com/ipfs/go-log/v2 v2.1.1/go.mod h1:2v2nsGfZsvvAJz13SyFzf9ObaqwHiHxsPLEHntrv9KM=
-github.com/ipfs/go-log/v2 v2.1.3/go.mod h1:/8d0SH3Su5Ooc31QlL1WysJhvyOTDCjcCZ9Axpmri6g=
 github.com/ipfs/go-log/v2 v2.3.0/go.mod h1:QqGoj30OTpnKaG/LKTGTxoP2mmQtjVMEnK72gynbe/g=
 github.com/ipfs/go-log/v2 v2.4.0 h1:iR/2o9PGWanVJrBgIH5Ff8mPGOwpqLaPIAFqSnsdlzk=
 github.com/ipfs/go-log/v2 v2.4.0/go.mod h1:nPZnh7Cj7lwS3LpRU5Mwr2ol1c2gXIEXuF6aywqrtmo=
@@ -279,14 +277,14 @@ github.com/libp2p/go-libp2p-core v0.3.0/go.mod h1:ACp3DmS3/N64c2jDzcV429ukDpicbL
 github.com/libp2p/go-libp2p-core v0.5.0/go.mod h1:49XGI+kc38oGVwqSBhDEwytaAxgZasHhFfQKibzTls0=
 github.com/libp2p/go-libp2p-core v0.5.1/go.mod h1:uN7L2D4EvPCvzSH5SrhR72UWbnSGpt5/a35Sm4upn4Y=
 github.com/libp2p/go-libp2p-core v0.8.0/go.mod h1:FfewUH/YpvWbEB+ZY9AQRQ4TAD8sJBt/G1rVvhz5XT8=
-github.com/libp2p/go-libp2p-core v0.8.6/go.mod h1:dgHr0l0hIKfWpGpqAMbpo19pen9wJfdCGv51mTmdpmM=
 github.com/libp2p/go-libp2p-core v0.10.0/go.mod h1:ECdxehoYosLYHgDDFa2N4yE8Y7aQRAMf0sX9mf2sbGg=
-github.com/libp2p/go-libp2p-core v0.11.0 h1:75jAgdA+IChNa+/mZXogfmrGkgwxkVvxmIC7pV+F6sI=
-github.com/libp2p/go-libp2p-core v0.11.0/go.mod h1:ECdxehoYosLYHgDDFa2N4yE8Y7aQRAMf0sX9mf2sbGg=
+github.com/libp2p/go-libp2p-core v0.12.0/go.mod h1:ECdxehoYosLYHgDDFa2N4yE8Y7aQRAMf0sX9mf2sbGg=
+github.com/libp2p/go-libp2p-core v0.13.0 h1:IFG/s8dN6JN2OTrXX9eq2wNU/Zlz2KLdwZUp5FplgXI=
+github.com/libp2p/go-libp2p-core v0.13.0/go.mod h1:ECdxehoYosLYHgDDFa2N4yE8Y7aQRAMf0sX9mf2sbGg=
 github.com/libp2p/go-libp2p-mplex v0.4.1 h1:/pyhkP1nLwjG3OM+VuaNJkQT/Pqq73WzB3aDN3Fx1sc=
 github.com/libp2p/go-libp2p-mplex v0.4.1/go.mod h1:cmy+3GfqfM1PceHTLL7zQzAAYaryDu6iPSC+CIb094g=
-github.com/libp2p/go-libp2p-peerstore v0.4.0 h1:DOhRJLnM9Dc9lIXi3rPDZBf789LXy1BrzwIs7Tj0cKA=
-github.com/libp2p/go-libp2p-peerstore v0.4.0/go.mod h1:rDJUFyzEWPpXpEwywkcTYYzDHlwza8riYMaUzaN6hX0=
+github.com/libp2p/go-libp2p-peerstore v0.6.0 h1:HJminhQSGISBIRb93N6WK3t6Fa8OOTnHd/VBjL4mY5A=
+github.com/libp2p/go-libp2p-peerstore v0.6.0/go.mod h1:DGEmKdXrcYpK9Jha3sS7MhqYdInxJy84bIPtSu65bKc=
 github.com/libp2p/go-libp2p-pnet v0.2.0 h1:J6htxttBipJujEjz1y0a5+eYoiPcFHhSYHH6na5f0/k=
 github.com/libp2p/go-libp2p-pnet v0.2.0/go.mod h1:Qqvq6JH/oMZGwqs3N1Fqhv8NVhrdYcO0BW4wssv21LA=
 github.com/libp2p/go-libp2p-quic-transport v0.13.0 h1:MTVojS4AnGD/rng6rF/HXEqwMHL27rHUEf3DaqSdnUw=
@@ -297,8 +295,9 @@ github.com/libp2p/go-libp2p-testing v0.5.0 h1:bTjC29TTQ/ODq0ld3+0KLq3irdA5cAH3OM
 github.com/libp2p/go-libp2p-testing v0.5.0/go.mod h1:QBk8fqIL1XNcno/l3/hhaIEn4aLRijpYOR+zVjjlh+A=
 github.com/libp2p/go-libp2p-tls v0.3.0 h1:8BgvUJiOTcj0Gp6XvEicF0rL5aUtRg/UzEdeZDmDlC8=
 github.com/libp2p/go-libp2p-tls v0.3.0/go.mod h1:fwF5X6PWGxm6IDRwF3V8AVCCj/hOd5oFlg+wo2FxJDY=
-github.com/libp2p/go-libp2p-transport-upgrader v0.5.0 h1:7SDl3O2+AYOgfE40Mis83ClpfGNkNA6m4FwhbOHs+iI=
 github.com/libp2p/go-libp2p-transport-upgrader v0.5.0/go.mod h1:Rc+XODlB3yce7dvFV4q/RmyJGsFcCZRkeZMu/Zdg0mo=
+github.com/libp2p/go-libp2p-transport-upgrader v0.6.0 h1:GfMCU+2aGGEm1zW3UcOz6wYSn8tXQalFfVfcww99i5A=
+github.com/libp2p/go-libp2p-transport-upgrader v0.6.0/go.mod h1:1e07y1ZSZdHo9HPbuU8IztM1Cj+DR5twgycb4pnRzRo=
 github.com/libp2p/go-libp2p-yamux v0.5.0 h1:ZzmUhbQE+X7NuYUT2naxN31JyebZfRmpZVhKtRP13ys=
 github.com/libp2p/go-libp2p-yamux v0.5.0/go.mod h1:AyR8k5EzyM2QN9Bbdg6X1SkVVuqLwTGf0L4DFq9g6po=
 github.com/libp2p/go-maddr-filter v0.1.0 h1:4ACqZKw8AqiuJfwFGq1CYDFugfXTOos+qQ3DETkhtCE=
diff --git a/swarm.go b/swarm.go
index e5077ac0..b1f51a35 100644
--- a/swarm.go
+++ b/swarm.go
@@ -212,7 +212,7 @@ func (s *Swarm) addConn(tc transport.CapableConn, dir network.Direction) (*Conn,
 	)
 
 	// create the Stat object, initializing with the underlying connection Stat if available
-	var stat network.Stat
+	var stat network.ConnStats
 	if cs, ok := tc.(network.ConnStat); ok {
 		stat = cs.Stat()
 	}
diff --git a/swarm_conn.go b/swarm_conn.go
index 3d5f8f37..388e9e76 100644
--- a/swarm_conn.go
+++ b/swarm_conn.go
@@ -39,7 +39,7 @@ type Conn struct {
 		m map[*Stream]struct{}
 	}
 
-	stat network.Stat
+	stat network.ConnStats
 }
 
 func (c *Conn) ID() string {
@@ -90,6 +90,7 @@ func (c *Conn) doClose() {
 
 func (c *Conn) removeStream(s *Stream) {
 	c.streams.Lock()
+	c.stat.NumStreams--
 	delete(c.streams.m, s)
 	c.streams.Unlock()
 }
@@ -171,7 +172,9 @@ func (c *Conn) RemotePublicKey() ic.PubKey {
 }
 
 // Stat returns metadata pertaining to this connection
-func (c *Conn) Stat() network.Stat {
+func (c *Conn) Stat() network.ConnStats {
+	c.streams.Lock()
+	defer c.streams.Unlock()
 	return c.stat
 }
 
@@ -201,16 +204,16 @@ func (c *Conn) addStream(ts mux.MuxedStream, dir network.Direction) (*Stream, er
 	}
 
 	// Wrap and register the stream.
-	stat := network.Stat{
-		Direction: dir,
-		Opened:    time.Now(),
-	}
 	s := &Stream{
 		stream: ts,
 		conn:   c,
-		stat:   stat,
-		id:     atomic.AddUint64(&c.swarm.nextStreamID, 1),
+		stat: network.Stats{
+			Direction: dir,
+			Opened:    time.Now(),
+		},
+		id: atomic.AddUint64(&c.swarm.nextStreamID, 1),
 	}
+	c.stat.NumStreams++
 	c.streams.m[s] = struct{}{}
 
 	// Released once the stream disconnect notifications have finished
diff --git a/swarm_net_test.go b/swarm_net_test.go
index 1f1d0454..3096574d 100644
--- a/swarm_net_test.go
+++ b/swarm_net_test.go
@@ -130,9 +130,9 @@ func TestNetworkOpenStream(t *testing.T) {
 		t.Fatal(err)
 	}
 
-	numStreams := 0
+	var numStreams int
 	for _, conn := range nets[0].ConnsToPeer(nets[1].LocalPeer()) {
-		numStreams += len(conn.GetStreams())
+		numStreams += conn.Stat().NumStreams
 	}
 
 	if numStreams != 1 {
diff --git a/swarm_stream.go b/swarm_stream.go
index a5f0738a..b0063b1b 100644
--- a/swarm_stream.go
+++ b/swarm_stream.go
@@ -28,7 +28,7 @@ type Stream struct {
 
 	protocol atomic.Value
 
-	stat network.Stat
+	stat network.Stats
 }
 
 func (s *Stream) ID() string {
@@ -151,6 +151,6 @@ func (s *Stream) SetWriteDeadline(t time.Time) error {
 }
 
 // Stat returns metadata information for this stream.
-func (s *Stream) Stat() network.Stat {
+func (s *Stream) Stat() network.Stats {
 	return s.stat
 }
diff --git a/swarm_test.go b/swarm_test.go
index 043e5735..0dac49d1 100644
--- a/swarm_test.go
+++ b/swarm_test.go
@@ -424,3 +424,44 @@ func TestPreventDialListenAddr(t *testing.T) {
 		t.Fatal("expected dial to fail: %w", err)
 	}
 }
+
+func TestStreamCount(t *testing.T) {
+	s1 := GenSwarm(t)
+	s2 := GenSwarm(t)
+	connectSwarms(t, context.Background(), []*swarm.Swarm{s2, s1})
+
+	countStreams := func() (n int) {
+		var num int
+		for _, c := range s1.ConnsToPeer(s2.LocalPeer()) {
+			n += c.Stat().NumStreams
+			num += len(c.GetStreams())
+		}
+		require.Equal(t, n, num, "inconsistent stream count")
+		return
+	}
+
+	streams := make(chan network.Stream, 20)
+	streamAccepted := make(chan struct{}, 1)
+	s1.SetStreamHandler(func(str network.Stream) {
+		streams <- str
+		streamAccepted <- struct{}{}
+	})
+
+	for i := 0; i < 10; i++ {
+		str, err := s2.NewStream(context.Background(), s1.LocalPeer())
+		require.NoError(t, err)
+		str.Write([]byte("foobar"))
+		<-streamAccepted
+	}
+	require.Eventually(t, func() bool { return len(streams) == 10 }, 5*time.Second, 10*time.Millisecond)
+	require.Equal(t, countStreams(), 10)
+	(<-streams).Reset()
+	(<-streams).Close()
+	require.Equal(t, countStreams(), 8)
+
+	str, err := s1.NewStream(context.Background(), s2.LocalPeer())
+	require.NoError(t, err)
+	require.Equal(t, countStreams(), 9)
+	str.Close()
+	require.Equal(t, countStreams(), 8)
+}