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The Kansas City Chiefs agreed to terms with running back DeAndre Washington on a one-year contract, according to Yahoo Sports' Terez A. Paylor.

Washington ran for 387 yards and three touchdowns on 108 carries with the Oakland Raiders. He also caught 36 passes for 292 yards.

Kansas City already exercised Damien Williams' $2.3 million option for the 2020 season. Williams was the team's leading rusher (498 yards) and averaged a healthy 4.5 yards per carry.

Washington will help the Chiefs address the backfield depth they lost by letting LeSean McCoy hit free agency. NFL Network's Omar Ruiz noted the 27-year-old was college teammates with Patrick Mahomes for two years at Texas Tech as well.

That should help him carve out a role in Kansas City's passing game.

The signing of Washington may not preclude the Chiefs from targeting a running back in the 2020 draft.

General manager Brett Veach has to start planning ahead for Mahomes becoming a free agent in 2022. Looking for a long-term solution at running back through the draft would make sense from a cost-savings perspective.

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In his most recent mock draft, Bleacher Report's Matt Miller projected Kansas City to select Vanderbilt star Ke'Shawn Vaughn in the third round.