The Tigers selected Hill's contract from Triple-A Toledo on Sunday.
Though he'll be joining the Tigers ahead of Sunday's series finale with the Royals, Hill is slated to start the first game of Monday's doubleheader against the Guardians, according to Evan Woodbery of MLive.com. The 26-year-old right-hander received his first MLB call-up after turning in a 4.06 ERA, 1.24 WHIP and 46:15 K:BB in 37.2 innings at Toledo following his late-May promotion from Double-A Erie.