The move was first reported about two weeks ago by several national coaching search web sites. Word surfaced again Wednesday after LSU completed its No. 2 ranked recruiting class.
McGaughey spent the previous three seasons at LSU, leading the Tigers' various special teams units and assisting the defensive coaching staff. Before arriving in Baton Rouge, McGaughey spent the previous 10 seasons in the NFL.
"This is a great opportunity for Thomas," LSU coach Les Miles said in a press release. "He will do a great job with the Jets. We wish Thomas and his family continued success in the future."
In addition to his coaching duties, McGaughey was also a valuable recruiter. He mostly manned Southeast Texas, particularly the Houston area. He was also instrumental in helping LSU sign 2014 DT Trey Lealaimatafao, a San Antonio native.
Miles said in the release he will immediately begin the search for McGaughey's replacement.