diff --git a/test/functional/p2p_invalid_messages.py b/test/functional/p2p_invalid_messages.py
index 4916d36ab70..762e6c4688f 100755
--- a/test/functional/p2p_invalid_messages.py
+++ b/test/functional/p2p_invalid_messages.py
@@ -109,6 +109,9 @@ class InvalidMessagesTest(BitcoinTestFramework):
         self.nodes[0].disconnect_p2ps()
 
     def test_magic_bytes(self):
+        # Skip with v2, magic bytes are v1-specific
+        if self.options.v2transport:
+            return
         self.log.info("Test message with invalid magic bytes disconnects peer")
         conn = self.nodes[0].add_p2p_connection(P2PDataStore())
         with self.nodes[0].assert_debug_log(['Header error: Wrong MessageStart ffffffff received']):
@@ -120,6 +123,9 @@ class InvalidMessagesTest(BitcoinTestFramework):
         self.nodes[0].disconnect_p2ps()
 
     def test_checksum(self):
+        # Skip with v2, the checksum is v1-specific
+        if self.options.v2transport:
+            return
         self.log.info("Test message with invalid checksum logs an error")
         conn = self.nodes[0].add_p2p_connection(P2PDataStore())
         with self.nodes[0].assert_debug_log(['Header error: Wrong checksum (badmsg, 2 bytes), expected 78df0a04 was ffffffff']):
@@ -137,7 +143,11 @@ class InvalidMessagesTest(BitcoinTestFramework):
     def test_size(self):
         self.log.info("Test message with oversized payload disconnects peer")
         conn = self.nodes[0].add_p2p_connection(P2PDataStore())
-        with self.nodes[0].assert_debug_log(['Header error: Size too large (badmsg, 4000001 bytes)']):
+        error_msg = (
+            ['V2 transport error: packet too large (4000014 bytes)'] if self.options.v2transport
+            else ['Header error: Size too large (badmsg, 4000001 bytes)']
+        )
+        with self.nodes[0].assert_debug_log(error_msg):
             msg = msg_unrecognized(str_data="d" * (VALID_DATA_LIMIT + 1))
             msg = conn.build_message(msg)
             conn.send_raw_message(msg)
@@ -147,15 +157,26 @@ class InvalidMessagesTest(BitcoinTestFramework):
     def test_msgtype(self):
         self.log.info("Test message with invalid message type logs an error")
         conn = self.nodes[0].add_p2p_connection(P2PDataStore())
-        with self.nodes[0].assert_debug_log(['Header error: Invalid message type']):
+        if self.options.v2transport:
+            msgtype = 99 # not defined
             msg = msg_unrecognized(str_data="d")
-            msg = conn.build_message(msg)
-            # Modify msgtype
-            msg = msg[:7] + b'\x00' + msg[7 + 1:]
-            conn.send_raw_message(msg)
-            conn.sync_with_ping(timeout=1)
-        # Check that traffic is accounted for (24 bytes header + 2 bytes payload)
-        assert_equal(self.nodes[0].getpeerinfo()[0]['bytesrecv_per_msg']['*other*'], 26)
+            contents = msgtype.to_bytes(1, 'big') + msg.serialize()
+            tmsg = conn.v2_state.v2_enc_packet(contents, ignore=False)
+            with self.nodes[0].assert_debug_log(['V2 transport error: invalid message type']):
+                conn.send_raw_message(tmsg)
+                conn.sync_with_ping(timeout=1)
+            # Check that traffic is accounted for (20 bytes plus 3 bytes contents)
+            assert_equal(self.nodes[0].getpeerinfo()[0]['bytesrecv_per_msg']['*other*'], 23)
+        else:
+            with self.nodes[0].assert_debug_log(['Header error: Invalid message type']):
+                msg = msg_unrecognized(str_data="d")
+                msg = conn.build_message(msg)
+                # Modify msgtype
+                msg = msg[:7] + b'\x00' + msg[7 + 1:]
+                conn.send_raw_message(msg)
+                conn.sync_with_ping(timeout=1)
+                # Check that traffic is accounted for (24 bytes header + 2 bytes payload)
+                assert_equal(self.nodes[0].getpeerinfo()[0]['bytesrecv_per_msg']['*other*'], 26)
         self.nodes[0].disconnect_p2ps()
 
     def test_addrv2(self, label, required_log_messages, raw_addrv2):