When you send an SMS text message from Skype, the recipient will see the first 11 characters of your Skype Name. For example, if your Skype Name is thisismyskypename, the recipient will see thisismysky. They won’t be able to reply to your SMS text message.
However, you can change your sender ID so it displays your mobile number instead. This means the recipient can reply to your SMS text message and the reply will go to your mobile phone (not your Skype).
To change the sender ID, you need to verify your mobile number in Skype.
To verify your mobile number in Skype for Windows desktop, go to Tools > Options > IM & SMS > SMS Settings, click the link Verify your mobile phone number and follow the instructions.
To verify your mobile number in Skype for Mac, go to Skype > Preferences > Messaging > Verify Your Number and follow the instructions.
Important: Make sure that you enter your phone number in the correct international format, otherwise you might not receive the verification SMS text message.
After you’ve validated your mobile number, all SMS text messages you send from Skype will display your mobile number as the sender ID.
SMS text messages sent to mobile phones in Canada, China, Czech Republic, Poland, Taiwan and the USA will not display your Skype Name or a validated mobile number. Instead, these SMS text messages will have generic, pre-defined numbers as the sender ID. For SMS text messages sent to mobile phones in Russia, the Skype Name is not displayed. A generic number is displayed unless you’ve set your mobile number as the sender ID.