diff --git a/micrometer-core/src/main/java/io/micrometer/core/instrument/MeterRegistry.java b/micrometer-core/src/main/java/io/micrometer/core/instrument/MeterRegistry.java
index 8cf2c91a6d..c4a6db3ef6 100644
--- a/micrometer-core/src/main/java/io/micrometer/core/instrument/MeterRegistry.java
+++ b/micrometer-core/src/main/java/io/micrometer/core/instrument/MeterRegistry.java
@@ -963,6 +963,22 @@ public Config withHighCardinalityTagsDetector(long threshold, Duration delay) {
                     new HighCardinalityTagsDetector(MeterRegistry.this, threshold, delay));
         }
 
+        /**
+         * Uses the supplied {@code Function<MeterRegistry, HighCardinalityTagsDetector>}
+         * to create a new {@link HighCardinalityTagsDetector} for this registry. After
+         * the {@link HighCardinalityTagsDetector} is created, it also starts it. The
+         * implementation of the factory {@code Function} must pass the registry instance
+         * to one of the constructors of {@link HighCardinalityTagsDetector}.
+         * @param highCardinalityTagsDetectorFactory The {@code Function} that creates the
+         * {@link HighCardinalityTagsDetector} instance
+         * @return This configuration instance.
+         * @since 1.14.0
+         */
+        public Config withHighCardinalityTagsDetector(
+                Function<MeterRegistry, HighCardinalityTagsDetector> highCardinalityTagsDetectorFactory) {
+            return withHighCardinalityTagsDetector(highCardinalityTagsDetectorFactory.apply(MeterRegistry.this));
+        }
+
         private Config withHighCardinalityTagsDetector(HighCardinalityTagsDetector newHighCardinalityTagsDetector) {
             if (highCardinalityTagsDetector != null) {
                 highCardinalityTagsDetector.close();
diff --git a/micrometer-core/src/test/java/io/micrometer/core/instrument/HighCardinalityTagsDetectorTests.java b/micrometer-core/src/test/java/io/micrometer/core/instrument/HighCardinalityTagsDetectorTests.java
index 97c6b45a1b..c36b2e7ebe 100644
--- a/micrometer-core/src/test/java/io/micrometer/core/instrument/HighCardinalityTagsDetectorTests.java
+++ b/micrometer-core/src/test/java/io/micrometer/core/instrument/HighCardinalityTagsDetectorTests.java
@@ -15,15 +15,15 @@
  */
 package io.micrometer.core.instrument;
 
-import java.time.Duration;
-import java.util.function.Consumer;
-
 import io.micrometer.common.lang.Nullable;
 import io.micrometer.core.instrument.simple.SimpleMeterRegistry;
 import org.junit.jupiter.api.AfterEach;
 import org.junit.jupiter.api.BeforeEach;
 import org.junit.jupiter.api.Test;
 
+import java.time.Duration;
+import java.util.function.Consumer;
+
 import static org.assertj.core.api.Assertions.assertThat;
 import static org.awaitility.Awaitility.await;
 
@@ -90,10 +90,23 @@ void shouldNotDetectNoTags() {
         assertThat(highCardinalityTagsDetector.findFirst()).isEmpty();
     }
 
+    @Test
+    void shouldBeManagedThroughMeterRegistry() {
+        for (int i = 0; i < 4; i++) {
+            Counter.builder("test.counter").tag("index", String.valueOf(i)).register(registry).increment();
+        }
+
+        registry.config()
+            .withHighCardinalityTagsDetector(
+                    r -> new HighCardinalityTagsDetector(r, 3, Duration.ofMinutes(1), testMeterNameConsumer));
+
+        await().atMost(Duration.ofSeconds(1)).until(() -> "test.counter".equals(testMeterNameConsumer.getName()));
+    }
+
     private static class TestMeterNameConsumer implements Consumer<String> {
 
         @Nullable
-        private String name;
+        private volatile String name;
 
         @Override
         public void accept(String name) {