While there is no need to sign in with the web version, if you have an account, go ahead and log in so you have access to your contacts and previous conversations. Basically, this is a quick way to have conversations from anywhere you have a data connection, and there is no need to install anything. Note that when using this method, the link for your conversation is only valid for 24 hours.

Head to this Skype page to start a conversation and then share a link with the people you want to talk with. However, keep in mind that this service is still labeled as Beta, so your experience may vary depending on the device and browser you’re using. The major web browsers and mobile platforms support WebRTC, making it possible to Skype with others on virtually any device you want. Microsoft uses Web Real-Time Communication (WebRTC) to enable browser-to-browser voice calling, video chat, and instant messaging. One of the benefits of the web version is you can join as a Guest (no account required) and connect with anyone in the world for a quick chat, voice, or video call for free.

Open skype in browser