The demo, which is available to view at www.youtube.com/watch?v=7ALGPknOsiU, shows off a number of features, includes playback, playlists, offline sync and music search.
Spotify stresses that this is very much a work in progress but promises further details soon.
Meanwhile, Spotify has announced a deal with Epitaph Records to bring its catalogue to the music site.
The agreement means that music from artists such as The Offspring, Rancid, Pennywise and NOFX is already available via Spotify.
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