diff --git a/crates/core/src/swarm/impls.rs b/crates/core/src/swarm/impls.rs
index 46004a807..160900bfb 100644
--- a/crates/core/src/swarm/impls.rs
+++ b/crates/core/src/swarm/impls.rs
@@ -262,7 +262,7 @@ impl ConnectionHandshake for Swarm {
             // The party with a smaller Did should reject answering the other party and report an Error::AlreadyConnected error.
             if conn.webrtc_connection_state() == WebrtcConnectionState::New {
                 // drop local offer and continue answer remote offer
-                if peer > self.did() {
+                if self.did() > peer {
                     // this connection will replaced by new connection created bellow
                     self.disconnect(peer).await?;
                 } else {
diff --git a/crates/core/src/tests/default/test_connection.rs b/crates/core/src/tests/default/test_connection.rs
index c57c5e15c..9035924e3 100644
--- a/crates/core/src/tests/default/test_connection.rs
+++ b/crates/core/src/tests/default/test_connection.rs
@@ -8,9 +8,6 @@ use crate::message::handlers::tests::wait_for_msgs;
 use crate::tests::default::prepare_node;
 use crate::tests::manually_establish_connection;
 
-// this function not work for dummy test
-// TODO: need to fix it
-#[cfg(not(feature = "dummy"))]
 #[tokio::test]
 async fn test_handshake_on_both_sides() -> Result<()> {
     let key1 = SecretKey::random();
@@ -30,11 +27,20 @@ async fn test_handshake_on_both_sides() -> Result<()> {
     wait_for_msgs(&swarm1, &swarm2, &swarm3).await;
     assert_no_more_msg(&swarm1, &swarm2, &swarm3).await;
 
-    assert!(swarm3.get_connection(swarm1.did()).is_some());
-    assert!(swarm3.get_connection(swarm2.did()).is_some());
-
-    assert!(swarm1.get_connection(swarm3.did()).is_some());
-    assert!(swarm2.get_connection(swarm3.did()).is_some());
+    assert_eq!(
+        swarm3
+            .get_connection(swarm1.did())
+            .unwrap()
+            .webrtc_connection_state(),
+        WebrtcConnectionState::Connected
+    );
+    assert_eq!(
+        swarm3
+            .get_connection(swarm2.did())
+            .unwrap()
+            .webrtc_connection_state(),
+        WebrtcConnectionState::Connected
+    );
 
     assert_eq!(
         swarm1
@@ -81,9 +87,6 @@ async fn test_handshake_on_both_sides() -> Result<()> {
     // and response answer
     // When node 2 got offer, node 2 reject offer if did 1 < did 2
 
-    assert!(swarm1.get_connection(swarm2.did()).is_some());
-    assert!(swarm2.get_connection(swarm1.did()).is_some());
-
     assert_eq!(
         swarm1
             .get_connection(swarm2.did())
diff --git a/crates/core/src/tests/default/test_stabilization.rs b/crates/core/src/tests/default/test_stabilization.rs
index a3892b029..bee3a9608 100644
--- a/crates/core/src/tests/default/test_stabilization.rs
+++ b/crates/core/src/tests/default/test_stabilization.rs
@@ -126,9 +126,6 @@ async fn test_stabilization() -> Result<()> {
     Ok(())
 }
 
-// this function not work for dummy test
-// TODO: need to fix it
-#[cfg(not(feature = "dummy"))]
 #[tokio::test]
 async fn test_stabilization_final_dht() -> Result<()> {
     let mut nodes = vec![];
diff --git a/crates/transport/src/connections/dummy/mod.rs b/crates/transport/src/connections/dummy/mod.rs
index d4d19ea79..e843a5f5e 100644
--- a/crates/transport/src/connections/dummy/mod.rs
+++ b/crates/transport/src/connections/dummy/mod.rs
@@ -159,7 +159,13 @@ impl ConnectionInterface for DummyConnection {
         if CHANNEL_OPEN_DELAY {
             random_delay().await;
         }
-        if self.webrtc_connection_state() == WebrtcConnectionState::Connected {
+
+        // Will pass if the state is connecting to prevent release connection in the `test_handshake_on_both_sides` test.
+        // The connecting state means an offer is answered but not accepted by the other side.
+        if matches!(
+            self.webrtc_connection_state(),
+            WebrtcConnectionState::Connected | WebrtcConnectionState::Connecting
+        ) {
             Ok(())
         } else {
             Err(Error::DataChannelOpen(