The Vikings claimed Tate in November after the Browns placed him on waivers. He rushed for 38 yards on 13 carries with the Vikings after rushing for 333 yards and 106 carries with Cleveland, adding four touchdowns.
Tate ran for 1,992 yards and 10 touchdowns in three seasons with the Houston Texans before joining Cleveland.
The Vikings, playing without franchise running back Adrian Peterson all season due to his child abuse indictment and subsequent season-long suspension, rank 15th in the NFL with 112.2 rushing yards per game.
Minnesota is 6-9 this seasons and hosts the Chicago Bears in Sunday's season finale.
- Ben Estes