Anthony was diagnosed with a sprained right wrist after undergoing an MRI on Tuesday and may not require a trip to the injured list, Ian Browne of MLB.com reports.
The 21-year-old was removed from Monday's game in Detroit due to the injury and returned to Boston on Tuesday to visit a hand specialist, who apparently provided an encouraging diagnosis. Anthony is no longer with the team in Detroit, so the soonest he could rejoin the lineup would be Thursday, when the Red Sox return home for the start of a four-game series with the Rays.