Manship, who began the season at Rochester, made one start for the Twins against Cleveland on May 1, when he allowed two runs over six innings. In seven starts with the Red Wings, Manship was 2-2 with a 3.93 ERA.
The 25-year-old, who has a career 5.26 ERA in 12 big league appearances (six starts), is expected to join the Twins on Wednesday in Boston and will wear uniform No. 49.
Tolbert was optioned after appearing in three games and going 1-for-4. The 28-year-old is a .252 hitter with two home runs and 25 RBIs in 114 career games with the Twins.
Rhett Bollinger is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.