Wilson (concussion) was present at Thursday's practice, Antwan Staley of the New York Daily News reports.
Bernard recorded six tackles (two solo) and a pair of pass breakups, including an interception, in Monday night's 23-6 win over the Vikings.
Bailey tallied nine tackles (five solo), including 2.0 sacks, and two forced fumbles during the Jets' loss to the Chiefs on Sunday.
Phillips (ankle) was estimated as a non-participant on the Jets' official injury report Wednesday.
Wright (back) was estimated as a limited participant on the Jets' official injury report Wednesday.
Gaines (calf) was a full participant in Wednesday's walkthrough practice.
Ossai (ankle) was a limited participant in Wednesday's practice.
Dawkins (ribs) was a limited participant in Wednesday's walkthrough practice.
Wallace (groin) did not practice Wednesday.