diff --git a/instrumentation/vertx/vertx-http-client/vertx-http-client-4.0/javaagent/src/main/java/io/opentelemetry/javaagent/instrumentation/vertx/v4_0/client/ConnectionManagerInstrumentation.java b/instrumentation/vertx/vertx-http-client/vertx-http-client-4.0/javaagent/src/main/java/io/opentelemetry/javaagent/instrumentation/vertx/v4_0/client/ConnectionManagerInstrumentation.java
index b92954a2e882..ecaf34449e42 100644
--- a/instrumentation/vertx/vertx-http-client/vertx-http-client-4.0/javaagent/src/main/java/io/opentelemetry/javaagent/instrumentation/vertx/v4_0/client/ConnectionManagerInstrumentation.java
+++ b/instrumentation/vertx/vertx-http-client/vertx-http-client-4.0/javaagent/src/main/java/io/opentelemetry/javaagent/instrumentation/vertx/v4_0/client/ConnectionManagerInstrumentation.java
@@ -32,6 +32,10 @@ public void transform(TypeTransformer transformer) {
     transformer.applyAdviceToMethod(
         named("getConnection").and(takesArgument(3, named("io.vertx.core.Handler"))),
         ConnectionManagerInstrumentation.class.getName() + "$GetConnectionArg3Advice");
+    // since 4.3.4
+    transformer.applyAdviceToMethod(
+        named("getConnection").and(takesArgument(4, named("io.vertx.core.Handler"))),
+        ConnectionManagerInstrumentation.class.getName() + "$GetConnectionArg4Advice");
   }
 
   @SuppressWarnings("unused")
@@ -51,4 +55,13 @@ public static void wrapHandler(
       handler = HandlerWrapper.wrap(handler);
     }
   }
+
+  @SuppressWarnings("unused")
+  public static class GetConnectionArg4Advice {
+    @Advice.OnMethodEnter(suppress = Throwable.class)
+    public static void wrapHandler(
+        @Advice.Argument(value = 4, readOnly = false) Handler<?> handler) {
+      handler = HandlerWrapper.wrap(handler);
+    }
+  }
 }
diff --git a/instrumentation/vertx/vertx-rx-java-3.5/javaagent/build.gradle.kts b/instrumentation/vertx/vertx-rx-java-3.5/javaagent/build.gradle.kts
index 9b3587daa29e..4d1e6d49f6c6 100644
--- a/instrumentation/vertx/vertx-rx-java-3.5/javaagent/build.gradle.kts
+++ b/instrumentation/vertx/vertx-rx-java-3.5/javaagent/build.gradle.kts
@@ -50,11 +50,9 @@ dependencies {
   add("version35TestImplementation", "io.vertx:vertx-jdbc-client:$vertxVersion")
   add("version35TestImplementation", "io.vertx:vertx-circuit-breaker:$vertxVersion")
 
-  // concurrency tests are failing with 4.3.4
-  // tracking at https://github.com/open-telemetry/opentelemetry-java-instrumentation/issues/6790
-  add("latestDepTestImplementation", "io.vertx:vertx-web:4.3.3")
-  add("latestDepTestImplementation", "io.vertx:vertx-rx-java2:4.3.3")
-  add("latestDepTestImplementation", "io.vertx:vertx-web-client:4.3.3")
-  add("latestDepTestImplementation", "io.vertx:vertx-jdbc-client:4.3.3")
-  add("latestDepTestImplementation", "io.vertx:vertx-circuit-breaker:4.3.3")
+  add("latestDepTestImplementation", "io.vertx:vertx-web:4.+")
+  add("latestDepTestImplementation", "io.vertx:vertx-rx-java2:4.+")
+  add("latestDepTestImplementation", "io.vertx:vertx-web-client:4.+")
+  add("latestDepTestImplementation", "io.vertx:vertx-jdbc-client:4.+")
+  add("latestDepTestImplementation", "io.vertx:vertx-circuit-breaker:4.+")
 }