diff --git a/micrometer-tracing-bridges/micrometer-tracing-bridge-brave/src/test/java/io/micrometer/tracing/brave/bridge/BraveSpanTest.java b/micrometer-tracing-bridges/micrometer-tracing-bridge-brave/src/test/java/io/micrometer/tracing/brave/bridge/BraveSpanTest.java
index 0c1c749b..35d50a92 100644
--- a/micrometer-tracing-bridges/micrometer-tracing-bridge-brave/src/test/java/io/micrometer/tracing/brave/bridge/BraveSpanTest.java
+++ b/micrometer-tracing-bridges/micrometer-tracing-bridge-brave/src/test/java/io/micrometer/tracing/brave/bridge/BraveSpanTest.java
@@ -17,6 +17,7 @@
 
 import brave.Tracing;
 import brave.test.TestSpanHandler;
+import org.junit.jupiter.api.AfterEach;
 import org.junit.jupiter.api.Test;
 
 import static org.assertj.core.api.Assertions.assertThat;
@@ -27,6 +28,11 @@ public class BraveSpanTest {
 
     Tracing tracing = Tracing.newBuilder().addSpanHandler(handler).build();
 
+    @AfterEach
+    void cleanup() {
+        tracing.close();
+    }
+
     @Test
     void should_set_non_string_tags() {
         new BraveSpan(tracing.tracer().nextSpan()).start()