Spotify will let Wear OS users listen to their tunes without an internet connection with support for offline playback. The music streaming service has begun rolling this feature out. But there are caveats to this feature. You need a Wear OS 2.0 or newer device, and only Spotify Premium subscribers can download albums and playlists for offline listening. As for podcasts, both paid and free users can download these for offline playback.
Source: The Verge