diff --git a/packages/tests/src/utils/nodes.ts b/packages/tests/src/utils/nodes.ts
index 298378d961..497c6b9684 100644
--- a/packages/tests/src/utils/nodes.ts
+++ b/packages/tests/src/utils/nodes.ts
@@ -68,6 +68,15 @@ export async function runMultipleNodes(
 
   await waitForConnections(numServiceNodes, waku);
 
+  for (let i = 0; i < serviceNodes.nodes.length; i++) {
+    const node = serviceNodes.nodes[i];
+    const peers = await node.peers();
+
+    if (peers.length < 1) {
+      throw new Error(`Expected at least 1 connection for nwaku.`);
+    }
+  }
+
   return [serviceNodes, waku];
 }
 
diff --git a/packages/tests/tests/light-push/index.node.spec.ts b/packages/tests/tests/light-push/index.node.spec.ts
index c0d9fd140e..90cc283e5e 100644
--- a/packages/tests/tests/light-push/index.node.spec.ts
+++ b/packages/tests/tests/light-push/index.node.spec.ts
@@ -65,7 +65,8 @@ const runTests = (strictNodeCheck: boolean): void => {
       });
     });
 
-    it("Push 30 different messages", async function () {
+    // TODO: skiped till https://github.com/waku-org/nwaku/issues/3369 resolved
+    it.skip("Push 30 different messages", async function () {
       const generateMessageText = (index: number): string => `M${index}`;
 
       for (let i = 0; i < 30; i++) {
@@ -282,4 +283,4 @@ const runTests = (strictNodeCheck: boolean): void => {
   });
 };
 
-[true].map(runTests);
+[true, false].map(runTests);