Michigan defeated No. 13 Illinois, 25-14, and erased a 14-8 deficit with four matches to go.
Michigan placed four wrestlers during the event.
The Wolverines blew past both Virginia and Penn State, 207-135 and 217-123, respectively.
This was the third consecutive year that a Wolverine has come away with a singles victory in the ITA Midwest Regional Championships.
Skjodt finished the match against the Scarlet Knights with 13 kills along with 11 digs and five blocks with no errors. Cole netted 15 kills on 33 attempts.
Friday, the Wolverines fell to No. 20 Purdue, 3-0, and they were outblocked, 9-2. On Saturday, however, Michigan rebounded to defeat Indiana, 3-1.