Adams, whom the Jets selected with the sixth overall pick in 2017 out of LSU, has quickly developed into one of the league's best safeties in his first three seasons.
Adams poses at this year's Pro Bowl his second successive appearance
The two sides have had a rocky relationship since previous year.
It's not clear whether Adams would agree to continue playing on his rookie deal for a trade suitor, although that could be part of the conversation if a cap-strapped team inquires.More news: France ready to mirror United Kingdom quarantine on visitors
Adams and the Jets have reportedly had several discussions since last month's Draft, but remain divided over the timing and urgency of an improved contract.
Adams is seeking a deal before the start of the season, but the Jets prefer to wait on a long-term extension.More news: China Tensions Rise as Beijing Signals Tightening Controls on Hong Kong
Hopefully cooler heads will prevail and Adams will stay with the Jets.
Adams, 24, is due to make $3.5 million this year and is eligible for a contract extension as he has completed his third season. As it stands, only Carolina Panthers running back Christian McCaffrey has signed a contract extension from the first round of the 2017 National Football League draft class. He has made the Pro Bowl in each of the past two seasons and was a first-team All-Pro last season. Adams reportedly believes NY is dragging its feet, prompting trade speculation.More news: Hydroxychloroquine linked to increased risk of death in COVID-19 patients
According to Vacchiano's source, the team has not engaged in trade talks with any club since last year's deadline, though that has not stopped teams from calling. Jets ownership hasn't forgotten that experience, having walked away from it feeling burned. But the Jets want to keep him and extend him next offseason.