Jones, who made his first Pro Bowl last season, sat out voluntary workouts during the offseason while seeking a restructured contract, leading to speculation that he could be dealt.
"Shoot, I'm not going to trade that," Ryan said of Jones. "You know what I'm all about, and this guy is huge in our plans. I'm not going to trade the running back who led the AFC in rushing (with 1,312 yards). I would for three first-round picks and something like that, maybe. We ain't dealing him. No way."
The Jets have fourth-year pro Leon Washington, who also wants a new contract, and third-round draft pick Shonn Greene at running back behind Jones, who hasn't received a new deal from the team. He's entering the third year of a four-year, $20 million contract and is scheduled to make just $900,000 in base salary this season.
The Associated Press contributed to this report.