Chris Perez (shoulder) allowed three homers and five runs in an inning of work in his second rehab appearance with Double-A Akron.
Clay Buchholz (neck) was able to throw a bullpen session on Tuesday.
Jacoby Ellsbury went 3-for-5 with a triple, a double and three runs scored as the Red Sox beat the Rays 5-1 in the first game of Tuesday's doubleheader.
Alfredo Aceves pitched five innings of one-run ball for a victory in the first game of Tuesday's doubleheader against the Rays.
Chris Archer surrendered four runs -- three earned -- in 4 2/3 innings to take the loss in the first game of Tuesday's doubleheader.
Wil Myers went 0-for-4 with a strikeout against the Red Sox in his major league debut Tuesday.
Mike Napoli is not in the Red Sox' lineup for the second game of Tuesday's doubleheader against the Rays.
Will Middlebrooks is not in the Red Sox' lineup for the second game of Tuesday's doubleheader versus the Rays.