Hunter injured the wrist in a loss to the Golden State Warriors on Nov. 8. He missed Atlanta's next game in Utah but played 21 minutes in Friday's loss to the Nuggets.
An MRI on Saturday revealed a tendon injury that will require surgery.
Hunter, 24, has struggled with injuries early on in his NBA career. He underwent surgery on his right knee in February and missed 49 games last regular season while recovering. He then suffered a torn lateral meniscus in the same knee in the playoffs.
Hunter is averaging 10.8 points and shooting just below 40% from 3-point range this season.