Aparentemente, se você alterar sua senha e, em seguida, sair, isso fará com que a outra sessão seja desconectada, consulte: Como posso fazer com que o Skype efetue logout de outro local?
Change your password to make remote Skype clients sign out
- Go to File | Change Password
- Follow the instructions to change your password.
- Now sign out using File | Sign Out
- Wait a minute or so
- Then sign in again using your new password.
- After a short period of time any remote Skype clients that were logged into your Skype username should stop working. They will require the new password in order to log in again.