Rays manager Joe Maddon announced the news before Friday night's game with Detroit, saying the team feels "pretty strongly" that the left-hander is ready to return from a strained left triceps.
Price went on the disabled list for the first time in his career May 16. He made two minor league rehab starts with Class A Charlotte.
Price struggled this year before getting hurt, going 1-4 with a 5.24 ERA. He was 20-5 with a 2.56 ERA last season.