The Bills signed Evans to a reserve/future contract Tuesday.
The Dolphins elevated Evans from their practice squad Saturday ahead of their Week 15 game versus the Jets.
Evans was elevated from the Dolphins' practice squad Thursday.
Chicago waived Evans on Thursday.
Evans rushed twice for five yards in the Bears' 16-13 win over the Panthers on Thursday.
Evans rushed four times for 18 yards and a touchdown while catching three passes for 22 yards in the Bears' 30-13 loss to the Chargers on Sunday.
Evans carried the ball 14 times for 48 yards and caught one of three targets for six yards in Sunday's 30-12 win over the Raiders.
Evans is one of two healthy running backs for Chicago, along with D'Onta Foreman, heading into Sunday's game against the Vikings, Courtney Cronin of ESPN.com reports.
Evans agreed to a contract with the Bears on Sunday, Tom Pelissero of NFL Network reports.
Evans terminated his practice squad contract with the Dolphins on Saturday, making him a free agent, according to the NFL's transaction log.