The Jets said at one point last month that offensive coordinator Brian Schottenheimer wouldn’t be back only if he becomes a head coach.

Schottenheimer isn’t a head coach, but he also isn’t with the Jets.

The Jets have now unveiled their full coaching staff for 2012. The first name on the list is quarterbacks coach Matt Cavanaugh (pictured), who has been the team’s quarterbacks coach for all of Mark Sanchez’s career. Cavanaugh will return for a fourth year, which implies that Sanchez will return for a fourth year. Which also implies that Peyton Manning won’t be coming to the Jets for a first year.

That should make Jets fans forget the fact that the Giants just won the Super Bowl.

Mike Smith, who helped get the most out of Aaron Maybin in 2011, has been elevated to the position of outside linebackers coach. Bob Sutton has been promoted to assistant head coach/linebackers, and Lance Taylor has been promoted to assistant tight ends coach/quality control.

Also, Karl Dunbar arrives as the defensive line coach, replacing Mark Carrier. Newcomers Justin Galac and Paul Ricci will serve as assistant strength and conditioning coaches.