diff --git a/pkg/scheduler/framework/plugins/defaultpreemption/default_preemption.go b/pkg/scheduler/framework/plugins/defaultpreemption/default_preemption.go
index 73712159344..31186b4484b 100644
--- a/pkg/scheduler/framework/plugins/defaultpreemption/default_preemption.go
+++ b/pkg/scheduler/framework/plugins/defaultpreemption/default_preemption.go
@@ -79,7 +79,7 @@ func (pl *DefaultPreemption) PostFilter(ctx context.Context, state *framework.Cy
 	preemptionStartTime := time.Now()
 	defer func() {
 		metrics.PreemptionAttempts.Inc()
-		metrics.SchedulingAlgorithmPreemptionEvaluationDuration.Observe(metrics.SinceInSeconds(preemptionStartTime))
+		metrics.DeprecatedSchedulingAlgorithmPreemptionEvaluationDuration.Observe(metrics.SinceInSeconds(preemptionStartTime))
 	}()
 
 	nnn, err := pl.preempt(ctx, state, pod, m)
diff --git a/pkg/scheduler/metrics/metrics.go b/pkg/scheduler/metrics/metrics.go
index 0586c5a7fc9..4b8d82d52df 100644
--- a/pkg/scheduler/metrics/metrics.go
+++ b/pkg/scheduler/metrics/metrics.go
@@ -67,22 +67,24 @@ var (
 			StabilityLevel: metrics.ALPHA,
 		},
 	)
-	SchedulingAlgorithmPreemptionEvaluationDuration = metrics.NewHistogram(
+	DeprecatedSchedulingAlgorithmPreemptionEvaluationDuration = metrics.NewHistogram(
 		&metrics.HistogramOpts{
-			Subsystem:      SchedulerSubsystem,
-			Name:           "scheduling_algorithm_preemption_evaluation_seconds",
-			Help:           "Scheduling algorithm preemption evaluation duration in seconds",
-			Buckets:        metrics.ExponentialBuckets(0.001, 2, 15),
-			StabilityLevel: metrics.ALPHA,
+			Subsystem:         SchedulerSubsystem,
+			Name:              "scheduling_algorithm_preemption_evaluation_seconds",
+			Help:              "Scheduling algorithm preemption evaluation duration in seconds",
+			Buckets:           metrics.ExponentialBuckets(0.001, 2, 15),
+			StabilityLevel:    metrics.ALPHA,
+			DeprecatedVersion: "1.20.0",
 		},
 	)
-	BindingLatency = metrics.NewHistogram(
+	DeprecatedBindingLatency = metrics.NewHistogram(
 		&metrics.HistogramOpts{
-			Subsystem:      SchedulerSubsystem,
-			Name:           "binding_duration_seconds",
-			Help:           "Binding latency in seconds",
-			Buckets:        metrics.ExponentialBuckets(0.001, 2, 15),
-			StabilityLevel: metrics.ALPHA,
+			Subsystem:         SchedulerSubsystem,
+			Name:              "binding_duration_seconds",
+			Help:              "Binding latency in seconds",
+			Buckets:           metrics.ExponentialBuckets(0.001, 2, 15),
+			StabilityLevel:    metrics.ALPHA,
+			DeprecatedVersion: "1.20.0",
 		},
 	)
 	PreemptionVictims = metrics.NewHistogram(
@@ -189,8 +191,8 @@ var (
 		scheduleAttempts,
 		e2eSchedulingLatency,
 		SchedulingAlgorithmLatency,
-		BindingLatency,
-		SchedulingAlgorithmPreemptionEvaluationDuration,
+		DeprecatedBindingLatency,
+		DeprecatedSchedulingAlgorithmPreemptionEvaluationDuration,
 		PreemptionVictims,
 		PreemptionAttempts,
 		pendingPods,
diff --git a/pkg/scheduler/scheduler.go b/pkg/scheduler/scheduler.go
index 69aa8adf256..5eaa0308c42 100644
--- a/pkg/scheduler/scheduler.go
+++ b/pkg/scheduler/scheduler.go
@@ -412,7 +412,7 @@ func (sched *Scheduler) finishBinding(prof *profile.Profile, assumed *v1.Pod, ta
 		return
 	}
 
-	metrics.BindingLatency.Observe(metrics.SinceInSeconds(start))
+	metrics.DeprecatedBindingLatency.Observe(metrics.SinceInSeconds(start))
 	prof.Recorder.Eventf(assumed, nil, v1.EventTypeNormal, "Scheduled", "Binding", "Successfully assigned %v/%v to %v", assumed.Namespace, assumed.Name, targetNode)
 }