To be able to use two separate Skype accounts at the same time, without having to switch accounts by logging off and on again, just follow the following short steps :
1) Open your Skype application and sign in to your account .
2) Press Alt+F2 to and type in the below command :
This will launch a new instance of Skype allowing to log in with the other user id.
Another alternative would be to use the terminal . Open it up and run the command below :
$ skype –secondary &
The ‘&’ will enable the program to run in background.
That’s all ! More than one user can log in to Skype simultaneously. For more on how to use Skype on Ubuntu , refer to the link : https://help.ubuntu.com/stable/ubuntu-help/net-chat-skype.html.en