Can't sign in to Teams app with Skype id but can log in via browser

Question

Hello,

I'm trying to move from Skype to Teams, and now I'm able to log in to Teams via browser but not able via Teams desktop app. It gives me a message like: "We will send a code to number <skype_login>, that you can log in" but obviously can't send e-mail to the Skype login and nothing arrives to my email. I also added my e-mail as an alias for skype id via account.live.com but still can't to log in using Teams App.

Please advise the next steps to fix that.