Via an update to
http://blogs.skype.com/2015/06/15/skype-for-web-beta-is-now-available-to-everyone-in-the-us-and-uk/

"We’ve been hard at work and are pleased to announce that Skype for Web (Beta) is now available worldwide! Please see below for a list of supported languages. Also, good news for Chromebook and Linux users: you can now access Skype for Web (Beta) for instant messaging.

Visit http://web.skype.com to give it a try.

Supported languages: Arabic, Bulgarian, Czech, Danish, English, German, Greek, Spanish, Estonian, Finnish, French, Hebrew, Hindi, Hungarian, Indonesian, Italian, Japanese, Korean, Norwegian, Dutch, Polish, Portuguese (Brazil), Portuguese (Portugal), Romanian, Russian, Swedish, Turkish, Ukrainian, Chinese Simplified, Chinese Traditional.

Works well (so far) in Firefox

Dev Anand