diff --git a/dd-java-agent/agent-tooling/src/main/java/datadog/trace/agent/tooling/bytebuddy/matcher/AdditionalLibraryIgnoresMatcher.java b/dd-java-agent/agent-tooling/src/main/java/datadog/trace/agent/tooling/bytebuddy/matcher/AdditionalLibraryIgnoresMatcher.java
index cba19a0c69..f726dae05d 100644
--- a/dd-java-agent/agent-tooling/src/main/java/datadog/trace/agent/tooling/bytebuddy/matcher/AdditionalLibraryIgnoresMatcher.java
+++ b/dd-java-agent/agent-tooling/src/main/java/datadog/trace/agent/tooling/bytebuddy/matcher/AdditionalLibraryIgnoresMatcher.java
@@ -234,7 +234,8 @@ public class AdditionalLibraryIgnoresMatcher<T extends TypeDescription>
           || name.startsWith("org.h2.jdbcx.")
           // Some runnables that get instrumented
           || name.equals("org.h2.store.FileLock")
-          || name.equals("org.h2.engine.DatabaseCloser")) {
+          || name.equals("org.h2.engine.DatabaseCloser")
+          || name.equals("org.h2.engine.OnExitDatabaseCloser")) {
         return false;
       }
       return true;