When using Cisco anyconnect VPN, it seems the existing network connection is still going through old connection session (Is there any way to find out)?

The reason is because when using Cisco VPN client connect to gateway, usually the Messenger Live, Skype will be disconnected and requires to reconnect. But using anyconnect doesn't need to reconnect.

So I am guessing if those old sessions still go through original network connection. Which means, both connection is existing at the same time.

Take my case for example: connection 1: wireless NIC -> cable modem -> my cable ISP -> internet connection 2: anyconnect -> wireless NIC -> cable modem -> my cable ISP -> VPN gateway -> internet

Am I correct? Is there any way to check this? Thanks.