Either the Globe or Herald mentioned that none of the Pats asst coaches contracts are up so that the Jets will have to ask for permission to talk to them even for promotions. The speculation is that the Pats might deny position therefore Mangini may not even ask.
From Globe - Cafardo:
"With linebackers coach Dean Pees being named Patriots defensive coordinator, there are no New England assistants whose contracts will expire this season, so Mangini would have to get permission from the Patriots to interview any of them, and offer promotions; that does not appear to be in the cards"