diff --git a/p2p/host/relaysvc/relay_test.go b/p2p/host/relaysvc/relay_test.go
index 4117e11966..83a1784ea2 100644
--- a/p2p/host/relaysvc/relay_test.go
+++ b/p2p/host/relaysvc/relay_test.go
@@ -55,13 +55,13 @@ func TestReachabilityChangeEvent(t *testing.T) {
 	require.Eventually(
 		t,
 		func() bool { rmgr.mutex.Lock(); defer rmgr.mutex.Unlock(); relay = rmgr.relay; return relay != nil },
-		1*time.Second,
+		3*time.Second,
 		100*time.Millisecond,
 		"relay should be set on public event")
 	emitter.Emit(evt)
 	require.Never(t,
 		func() bool { rmgr.mutex.Lock(); defer rmgr.mutex.Unlock(); return relay != rmgr.relay },
-		1*time.Second,
+		3*time.Second,
 		100*time.Millisecond,
 		"relay should not be updated on receiving the same event")
 }
diff --git a/p2p/protocol/circuitv2/relay/relay.go b/p2p/protocol/circuitv2/relay/relay.go
index 81857827bf..e3c8f47580 100644
--- a/p2p/protocol/circuitv2/relay/relay.go
+++ b/p2p/protocol/circuitv2/relay/relay.go
@@ -52,7 +52,6 @@ type Relay struct {
 	constraints *constraints
 	scope       network.ResourceScopeSpan
 	notifiee    network.Notifiee
-	wg          sync.WaitGroup
 
 	mx     sync.Mutex
 	rsvp   map[peer.ID]time.Time
@@ -106,7 +105,6 @@ func New(h host.Host, opts ...Option) (*Relay, error) {
 	if r.metricsTracer != nil {
 		r.metricsTracer.RelayStatus(true)
 	}
-	r.wg.Add(1)
 	go r.background()
 
 	return r, nil
@@ -122,10 +120,10 @@ func (r *Relay) Close() error {
 		r.host.Network().StopNotify(r.notifiee)
 		r.scope.Done()
 		r.cancel()
+		r.gc()
 		if r.metricsTracer != nil {
 			r.metricsTracer.RelayStatus(false)
 		}
-		r.wg.Wait()
 		return nil
 	}
 	r.mx.Unlock()
@@ -636,8 +634,6 @@ func (r *Relay) background() {
 		case <-ticker.C:
 			r.gc()
 		case <-r.ctx.Done():
-			r.gc()
-			r.wg.Done()
 			return
 		}
 	}