Trestman, the former coach of the CFL's Montreal Alouettes, has a track record of developing quarterbacks and has also worked with the likes of Cutler, Jason Campbell and Brandon Weeden in recent years as a consultant when they were coming out of college.
The Jets see him more as a prospect on the offensive line, where Campbell worked out some and a move New York once made successfully with Brandon Moore, who was a college defensive lineman.