Willis was claimed off waivers by the Jets on Wednesday.
Willis' spot on the 53-man roster comes following the placement of Quincy Enunwa (neck) on injured reserve. The former Bengal will work to carve out a depth role in New York.
The Bengals waived Willis on Tuesday, Tom Pelissero of NFL Network reports.
The team's 2017 third-round pick never lived up to expectations -- he made 45 tackles and two sacks in two seasons -- so they cut him. If Willis clears waivers, he'll be free to sign with any team.