Davis is signing with the Bears, Adam Schefter of ESPN reports.
Davis rushed seven times for 21 yards and hauled in one of two targets for nine yards in Saturday's 19-15 preseason loss to the Colts. He also returned three kickoffs for 61 yards.
Davis signed with the Steelers on Monday.
Davis finished the 2016 regular season out with six carries for nine yards in Sunday's game against the Chargers.
Davis (coach's decision) is inactive for Sunday's game against the Titans, BJ Kissel of Chiefs.com reports.
Davis carried the ball three times for 10 yards and caught a pass for seven yards in Sunday's 19-14 win over the Jaguars.
Davis was signed by the Chiefs on Saturday.
The Jets plan to release Davis to create a roster spot for C.J. Spiller, Ian Rapoport of NFL Network reports.
Davis was claimed by the Jets on Tuesday, ESPN's Rich Cimini reports.
Davis has been released by the Packers, NFL.com's Ian Rapoport reports.