Before that happens, though, the Bengals have officially lost Joseph Ossai.

The Bengals are expecting to sign former Chiefs safety Bryan Cook, according to Ian Rapoport of NFL Network. The team and Cook's agents have agreed on a three-year, $40.25 million deal. Cook has started all 17 games for the Chiefs each of the last two seasons.

The Bengals will add safety Bryan Cook to the team in free agency, according to a report from NFL Network's Tom Pelissero, on a three-year deal worth $40.25 million.

Cook, formerly of the Kansas City Chiefs, will sign a three-year deal worth $40.25 million with the Bengals, according to NFL Network’s Ian Rapoport.