"I just really want to be a part of something special and I think we should be able to get something done," the big nose tackle said Tuesday in an interview with SiriusXM NFL Radio. "If not, I understand it's a business and they'll do what's best for them on the business side, as will I.
"But all hopes point to me coming back here, which I definitely want to do."
Obviously, the two sides are negotiating. The Jets have exclusive negotiating rights until March 7, when the "legal tampering" period begins. Free agency commences March 9.
Coach Todd Bowles made it clear at the end of the season that he wants to retain Harrison, one of four defensive starters who could be free agents. The others are Muhammad Wilkerson, Demario Davis and Calvin Pace. Wilkerson is expected to get the franchise tag.
Harrison said he's "not a money-hungry type of player," adding, "I love winning more than I love money." He figures to command a deal that will pay him at least $5 million a year.