The Bears signed fullback Eddie Williams, a seventh-round draft pick (221st overall) by the Redskins last season, to a one-year contract.
Williams spent the majority of last season on Washington's practice squad before being elevated to the active roster on Nov. 2. He was inactive for three games before being placed on injured reserve later that month.
The 6-foot-1, 249-pounder caught 100 passes for 1,205 yards and 11 touchdowns while rushing for 195 yards on 19 carries in four years at Idaho.
Terms of the deal were not disclosed.