The Red Sox selected Anderson's contract from Triple-A Worcester on Tuesday, Ari Alexander of 7 News Boston reports.
Anderson has yielded four runs with a 9:3 K:BB over his first 9.2 innings at Worcester this season. The 26-year-old will give the Red Sox a fresh relief arm after the bullpen covered 6.1 innings in Monday's loss to the Twins. Anderson will be making his major-league debut when he gets into a game.