Hill is not part of the Twins' wild-card roster, Brandon Warne of Access Twins reports.
Hill's exclusion is presumably due to the fact that he started Sunday against the Reds. He therefore won't be ready to pitch at any point in the Wild Card Round, which ends Thursday. If the Twins advance, he could certainly play a role, as he cruised to a 3.03 ERA and 1.16 WHIP in eight starts this season.