diff --git a/pkg/topology/kademlia/export_test.go b/pkg/topology/kademlia/export_test.go
index e890c3e6768..40cfd156bce 100644
--- a/pkg/topology/kademlia/export_test.go
+++ b/pkg/topology/kademlia/export_test.go
@@ -9,5 +9,5 @@ var (
 	QuickSaturationPeers        = &quickSaturationPeers
 	SaturationPeers             = &saturationPeers
 	OverSaturationPeers         = &overSaturationPeers
-	BootnodeOverSaturationPeers = &bootnodeOverSaturationPeers
+	BootnodeOverSaturationPeers = &bootNodeOverSaturationPeers
 )
diff --git a/pkg/topology/kademlia/kademlia.go b/pkg/topology/kademlia/kademlia.go
index ed40476eb8c..e16bc54b317 100644
--- a/pkg/topology/kademlia/kademlia.go
+++ b/pkg/topology/kademlia/kademlia.go
@@ -31,8 +31,8 @@ import (
 
 const (
 	nnLowWatermark         = 2 // the number of peers in consecutive deepest bins that constitute as nearest neighbours
-	maxConnAttempts        = 3 // when there is maxConnAttempts failed connect calls for a given peer it is considered non-connectable
-	maxBootnodeAttempts    = 3 // how many attempts to dial to bootnodes before giving up
+	maxConnAttempts        = 1 // when there is maxConnAttempts failed connect calls for a given peer it is considered non-connectable
+	maxBootNodeAttempts    = 3 // how many attempts to dial to boot-nodes before giving up
 	defaultBitSuffixLength = 3 // the number of bits used to create pseudo addresses for balancing
 
 	peerConnectionAttemptTimeout = 5 * time.Second // Timeout for establishing a new connection with peer.
@@ -42,7 +42,7 @@ var (
 	quickSaturationPeers        = 4
 	saturationPeers             = 8
 	overSaturationPeers         = 20
-	bootnodeOverSaturationPeers = 20
+	bootNodeOverSaturationPeers = 20
 	shortRetry                  = 30 * time.Second
 	timeToRetry                 = 2 * shortRetry
 	broadcastBinSize            = 4
@@ -111,7 +111,7 @@ func New(
 	if o.SaturationFunc == nil {
 		os := overSaturationPeers
 		if o.BootnodeMode {
-			os = bootnodeOverSaturationPeers
+			os = bootNodeOverSaturationPeers
 		}
 		o.SaturationFunc = binSaturated(os)
 	}
@@ -245,6 +245,9 @@ func (k *Kad) connectBalanced(wg *sync.WaitGroup, peerConnChan chan<- *peerConnI
 	}
 
 	for i := range k.commonBinPrefixes {
+		if i < int(k.NeighborhoodDepth()) {
+			continue
+		}
 		for j := range k.commonBinPrefixes[i] {
 			pseudoAddr := k.commonBinPrefixes[i][j]
 
@@ -299,14 +302,50 @@ func (k *Kad) connectBalanced(wg *sync.WaitGroup, peerConnChan chan<- *peerConnI
 // connectNeighbours attempts to connect to the neighbours
 // which were not considered by the connectBalanced method.
 func (k *Kad) connectNeighbours(wg *sync.WaitGroup, peerConnChan chan<- *peerConnInfo) {
-	// The topology.EachPeerFunc doesn't return an error
-	// so we ignore the error returned from EachBinRev.
+	const multiplePeerThreshold = 4
 
+	sent := 0
 	_ = k.knownPeers.EachBinRev(func(addr swarm.Address, po uint8) (bool, bool, error) {
+		depth := k.NeighborhoodDepth()
+
+		if depth > po || po >= depth+multiplePeerThreshold {
+			return false, true, nil
+		}
 
+		if k.connectedPeers.Exists(addr) {
+			return false, false, nil
+		}
+
+		if k.waitNext.Waiting(addr) {
+			k.metrics.TotalBeforeExpireWaits.Inc()
+			return false, false, nil
+		}
+
+		select {
+		case <-k.quit:
+			return true, false, nil
+		default:
+			wg.Add(1)
+			peerConnChan <- &peerConnInfo{
+				po:   po,
+				addr: addr,
+			}
+			sent++
+		}
+
+		// We want to sent number of attempts equal to saturationPeers
+		// in order to speed up the topology build.
+		next := sent == saturationPeers
+		if next {
+			sent = 0
+		}
+		return false, next, nil
+	})
+
+	_ = k.knownPeers.EachBinRev(func(addr swarm.Address, po uint8) (bool, bool, error) {
 		depth := k.NeighborhoodDepth()
 
-		if po < depth {
+		if po < depth+multiplePeerThreshold {
 			return false, true, nil
 		}
 
@@ -484,8 +523,8 @@ func (k *Kad) manage() {
 			}
 
 			oldDepth := k.NeighborhoodDepth()
-			k.connectBalanced(&wg, peerConnChan)
 			k.connectNeighbours(&wg, peerConnChan)
+			k.connectBalanced(&wg, peerConnChan)
 			wg.Wait()
 
 			k.depthMu.Lock()
@@ -512,13 +551,13 @@ func (k *Kad) manage() {
 				default:
 				}
 				k.logger.Debug("kademlia: no connected peers, trying bootnodes")
-				k.connectBootnodes(ctx)
+				k.connectBootNodes(ctx)
 			}
 		}
 	}
 }
 
-func (k *Kad) Start(ctx context.Context) error {
+func (k *Kad) Start(_ context.Context) error {
 	k.wg.Add(1)
 	go k.manage()
 
@@ -531,9 +570,9 @@ func (k *Kad) Start(ctx context.Context) error {
 	return nil
 }
 
-func (k *Kad) connectBootnodes(ctx context.Context) {
+func (k *Kad) connectBootNodes(ctx context.Context) {
 	var attempts, connected int
-	var totalAttempts = maxBootnodeAttempts * len(k.bootnodes)
+	var totalAttempts = maxBootNodeAttempts * len(k.bootnodes)
 
 	ctx, cancel := context.WithTimeout(ctx, 15*time.Second)
 	defer cancel()
@@ -545,7 +584,7 @@ func (k *Kad) connectBootnodes(ctx context.Context) {
 
 		if _, err := p2p.Discover(ctx, addr, func(addr ma.Multiaddr) (stop bool, err error) {
 			k.logger.Tracef("connecting to bootnode %s", addr)
-			if attempts >= maxBootnodeAttempts {
+			if attempts >= maxBootNodeAttempts {
 				return true, nil
 			}
 			bzzAddress, err := k.p2p.Connect(ctx, addr)
@@ -710,8 +749,7 @@ func (k *Kad) connect(ctx context.Context, peer swarm.Address, ma ma.Multiaddr)
 
 		k.collector.Inspect(peer, func(ss *im.Snapshot) {
 			quickPrune := ss == nil || ss.HasAtMaxOneConnectionAttempt()
-
-			if (k.connectedPeers.Length() > 0 && quickPrune) || failedAttempts > maxConnAttempts {
+			if (k.connectedPeers.Length() > 0 && quickPrune) || failedAttempts >= maxConnAttempts {
 				k.waitNext.Remove(peer)
 				k.knownPeers.Remove(peer)
 				if err := k.addressBook.Remove(peer); err != nil {
@@ -736,7 +774,7 @@ func (k *Kad) connect(ctx context.Context, peer swarm.Address, ma ma.Multiaddr)
 // Announce a newly connected peer to our connected peers, but also
 // notify the peer about our already connected peers
 func (k *Kad) Announce(ctx context.Context, peer swarm.Address, fullnode bool) error {
-	addrs := []swarm.Address{}
+	var addrs []swarm.Address
 
 	for bin := uint8(0); bin < swarm.MaxBins; bin++ {
 
@@ -805,30 +843,22 @@ func (k *Kad) Pick(peer p2p.Peer) bool {
 
 // Connected is called when a peer has dialed in.
 func (k *Kad) Connected(ctx context.Context, peer p2p.Peer) error {
-
 	address := peer.Address
 	po := swarm.Proximity(k.base.Bytes(), address.Bytes())
 
 	if _, overSaturated := k.saturationFunc(po, k.knownPeers, k.connectedPeers); overSaturated {
-
 		if k.bootnode {
 			randPeer, err := k.randomPeer(po)
 			if err != nil {
 				return err
 			}
 			_ = k.p2p.Disconnect(randPeer)
-			goto connected
+			return k.connected(ctx, address)
 		}
-
 		return topology.ErrOversaturated
 	}
 
-connected:
-	if err := k.connected(ctx, address); err != nil {
-		return err
-	}
-	k.notifyManageLoop()
-	return nil
+	return k.connected(ctx, address)
 }
 
 func (k *Kad) connected(ctx context.Context, addr swarm.Address) error {
@@ -848,6 +878,7 @@ func (k *Kad) connected(ctx context.Context, addr swarm.Address) error {
 	k.depth = recalcDepth(k.connectedPeers, k.radius)
 	k.depthMu.Unlock()
 
+	k.notifyManageLoop()
 	k.notifyPeerSig()
 	return nil
 
@@ -1009,7 +1040,7 @@ func (k *Kad) IsWithinDepth(addr swarm.Address) bool {
 	return swarm.Proximity(k.base.Bytes(), addr.Bytes()) >= k.NeighborhoodDepth()
 }
 
-// // EachNeighbor iterates from closest bin to farthest of the neighborhood peers.
+// EachNeighbor iterates from closest bin to farthest of the neighborhood peers.
 func (k *Kad) EachNeighbor(f topology.EachPeerFunc) error {
 	depth := k.NeighborhoodDepth()
 	fn := func(a swarm.Address, po uint8) (bool, bool, error) {
diff --git a/pkg/topology/kademlia/kademlia_test.go b/pkg/topology/kademlia/kademlia_test.go
index 785e1466c49..77b120298f0 100644
--- a/pkg/topology/kademlia/kademlia_test.go
+++ b/pkg/topology/kademlia/kademlia_test.go
@@ -746,13 +746,10 @@ func TestAddressBookPrune(t *testing.T) {
 	waitCounter(t, &conns, 0)
 	waitCounter(t, &failedConns, 1)
 
-	p, err := ab.Get(nonConnPeer.Overlay)
-	if err != nil {
+	_, err = ab.Get(nonConnPeer.Overlay)
+	if err != addressbook.ErrNotFound {
 		t.Fatal(err)
 	}
-	if !nonConnPeer.Equal(p) {
-		t.Fatalf("expected %+v, got %+v", nonConnPeer, p)
-	}
 
 	addr := test.RandomAddressAt(base, 1)
 	addr1 := test.RandomAddressAt(base, 1)
@@ -761,37 +758,29 @@ func TestAddressBookPrune(t *testing.T) {
 	// add one valid peer to initiate the retry, check connection and failed connection counters
 	addOne(t, signer, kad, ab, addr)
 	waitCounter(t, &conns, 1)
-	waitCounter(t, &failedConns, 1)
+	waitCounter(t, &failedConns, 0)
 
-	p, err = ab.Get(nonConnPeer.Overlay)
-	if err != nil {
+	_, err = ab.Get(nonConnPeer.Overlay)
+	if err != addressbook.ErrNotFound {
 		t.Fatal(err)
 	}
 
-	if !nonConnPeer.Equal(p) {
-		t.Fatalf("expected %+v, got %+v", nonConnPeer, p)
-	}
-
 	time.Sleep(50 * time.Millisecond)
 	// add one valid peer to initiate the retry, check connection and failed connection counters
 	addOne(t, signer, kad, ab, addr1)
 	waitCounter(t, &conns, 1)
-	waitCounter(t, &failedConns, 1)
+	waitCounter(t, &failedConns, 0)
 
-	p, err = ab.Get(nonConnPeer.Overlay)
-	if err != nil {
+	_, err = ab.Get(nonConnPeer.Overlay)
+	if err != addressbook.ErrNotFound {
 		t.Fatal(err)
 	}
 
-	if !nonConnPeer.Equal(p) {
-		t.Fatalf("expected %+v, got %+v", nonConnPeer, p)
-	}
-
 	time.Sleep(50 * time.Millisecond)
 	// add one valid peer to initiate the retry, check connection and failed connection counters
 	addOne(t, signer, kad, ab, addr2)
 	waitCounter(t, &conns, 1)
-	waitCounter(t, &failedConns, 1)
+	waitCounter(t, &failedConns, 0)
 
 	_, err = ab.Get(nonConnPeer.Overlay)
 	if err != addressbook.ErrNotFound {