The Rays said Tuesday that Myers will be in a cast for five to six weeks and then start rehabilitation. Tests determined the extent of the injury after Myers was injured last week and went on the disabled list.
Myers was injured when he landed after a collision with teammate Desmond Jennings in the outfield.
The Oakland Athletics put outfielder Josh Reddick on the 15-day disabled list because of a hyperextended right knee suffered Saturday.
Manager Bob Melvin said it was necessary to put Reddick on the DL because he is being held out of baseball activities for the duration of Oakland's nine-game trip.
Red Sox's Brandon Workman appeals suspension
Workman was penalized Tuesday. He can play until the appeal process is complete, and is expected to make his scheduled start Wednesday night against the Cleveland Indians.
The penalty also included a fine.
Cincinnati Reds first baseman Joey Votto is on his way back from a left leg injury, moving closer to a rehabilitation assignment in the minors.
Votto has been on the disabled list since May 21 because of a strained muscle above his left knee. He stayed in Cincinnati to get treatment on the leg while the team was on a seven-day trip.
Manager Bryan Price said that Votto will participate in pregame workouts, including batting practice and base running, for a couple of days to assess his readiness for a stint in the minors.
Right-handed starter Mat Latos is scheduled to make another rehab start Wednesday. If that goes well, he could be activated.
Latos has been on the disabled list all season recovering from knee surgery and a strained forearm.