The "early February" date is according to an email sent out to Google Play developers, and posted by this Google+ user, among other devs who have shared it. The email states Android Wear 2.0 will arrive in "early February" and reiterates the addition of the new on-watch Play Store.
Mark your calendar: Android Wear 2.0 launches on February 9th.
— Evan Blass (@evleaks) January 17, 2017
Android Wear 2.0 was anticipated to launch last year, but in September Google announced it would be pushed back into 2017, disappointing many people, not least our Editor in Chief Paul Lamkin.
Google is also expected to announce two of its own smartwatches early this year, although exactly when is yet unknown. Android Wear 2.0 will be made available on some - though not all - existing Android Wear devices around the same time.
Alongside the onboard Play Store, Wear 2.0 will finally be getting Android Pay, along with other improvements to complications and support for contextual smart replies.