Jets Vice President of College Scouting, Joey Clinkscales, has received permission to interview for the Rams General Manager position, per Jenny Vrentas, via Twitter. Clinkscales is the head scout for the Jets, and is extremely influental in how the Jets draft. I'm sure there will be more on this if he receives the job, but for now, good luck to him as he interviews. No date has been set yet for the interview.
Edit: Here is a great article on the Jets draft war room, which features Joey Clinkscales.