diff --git a/pulsar-broker/src/main/java/org/apache/pulsar/broker/stats/prometheus/TopicStats.java b/pulsar-broker/src/main/java/org/apache/pulsar/broker/stats/prometheus/TopicStats.java
index e54a3710e1294..524d47e7c1b92 100644
--- a/pulsar-broker/src/main/java/org/apache/pulsar/broker/stats/prometheus/TopicStats.java
+++ b/pulsar-broker/src/main/java/org/apache/pulsar/broker/stats/prometheus/TopicStats.java
@@ -360,7 +360,7 @@ public static void printTopicStats(PrometheusMetricStreams stream, TopicStats st
             writeSubscriptionMetric(stream, "pulsar_subscription_filter_rescheduled_msg_count",
                     subsStats.filterRescheduledMsgCount, cluster, namespace, topic, sub,
                     splitTopicAndPartitionIndexLabel);
-            writeSubscriptionMetric(stream, "pulsar_delayed_message_index_size_bytes",
+            writeSubscriptionMetric(stream, "pulsar_subscription_delayed_message_index_size_bytes",
                     subsStats.delayedMessageIndexSizeInBytes, cluster, namespace, topic, sub,
                     splitTopicAndPartitionIndexLabel);
 
diff --git a/pulsar-broker/src/test/java/org/apache/pulsar/broker/service/persistent/PersistentTopicTest.java b/pulsar-broker/src/test/java/org/apache/pulsar/broker/service/persistent/PersistentTopicTest.java
index 903443d37bb07..1196161711224 100644
--- a/pulsar-broker/src/test/java/org/apache/pulsar/broker/service/persistent/PersistentTopicTest.java
+++ b/pulsar-broker/src/test/java/org/apache/pulsar/broker/service/persistent/PersistentTopicTest.java
@@ -424,10 +424,11 @@ public void testDelayedDeliveryTrackerMemoryUsageMetric(String topic, boolean ex
 
         @Cleanup
         Producer<String> producer = client.newProducer(Schema.STRING).topic(topic).enableBatching(false).create();
+        String subName = "test_sub";
         @Cleanup
         Consumer<String> consumer = client.newConsumer(Schema.STRING)
                 .topic(topic)
-                .subscriptionName("test_sub")
+                .subscriptionName(subName)
                 .subscriptionType(SubscriptionType.Shared)
                 .messageListener((MessageListener<String>) (consumer1, msg) -> {
                     try {
@@ -453,7 +454,13 @@ public void testDelayedDeliveryTrackerMemoryUsageMetric(String topic, boolean ex
 
         Multimap<String, Metric> metricsMap = parseMetrics(metricsStr);
         Collection<Metric> metrics = metricsMap.get("pulsar_delayed_message_index_size_bytes");
-        Assert.assertTrue(metrics.size() > 0);
+        Collection<Metric> subMetrics = metricsMap.get("pulsar_subscription_delayed_message_index_size_bytes");
+        assertFalse(metrics.isEmpty());
+        if (exposeTopicLevelMetrics) {
+            assertFalse(subMetrics.isEmpty());
+        } else {
+            assertTrue(subMetrics.isEmpty());
+        }
 
         int topicLevelNum = 0;
         int namespaceLevelNum = 0;
@@ -462,14 +469,20 @@ public void testDelayedDeliveryTrackerMemoryUsageMetric(String topic, boolean ex
             if (exposeTopicLevelMetrics && metric.tags.get("topic").equals(topic)) {
                 Assert.assertTrue(metric.value > 0);
                 topicLevelNum++;
-                if ("test_sub".equals(metric.tags.get("subscription"))) {
-                    subscriptionLevelNum++;
-                }
             } else if (!exposeTopicLevelMetrics && metric.tags.get("namespace").equals(namespace)) {
                 Assert.assertTrue(metric.value > 0);
                 namespaceLevelNum++;
             }
         }
+        if (exposeTopicLevelMetrics) {
+            for (Metric metric : subMetrics) {
+                if (metric.tags.get("topic").equals(topic) &&
+                        subName.equals(metric.tags.get("subscription"))) {
+                    Assert.assertTrue(metric.value > 0);
+                    subscriptionLevelNum++;
+                }
+            }
+        }
 
         if (exposeTopicLevelMetrics) {
             Assert.assertTrue(topicLevelNum > 0);