Revis skipped the Jets' conditioning session on Sunday and has indicated he will sit out of the team's activities until his financial issues with New York are resolved.
Revis is currently in the midst of a rookie contract that makes him one of the lowest-paid defensive backs on his team.
Jets general manager Mike Tannenbaum said he had made multiple offers to Revis and his agents and that the lines of communication would remain open.
"Over the last 72 hours, we offered a long-term deal that would have made him a Jet for life, we offered him a short-term deal, and we offered to get together, and all three of those were rebuffed," Tannenbaum said on the team's website (www.newyorkjets.com).
Since being drafted in 2007, Revis has been a major catalyst for the Jets defense. He appeared in back-to-back Pro Bowls and was voted the team MVP last season after making six interceptions and helping lead the franchise to the AFC Championship Game.
After making multiple high-profile acquisitions in the offseason, the Jets have Super Bowl ambitions but will likely need their defensive anchor on the field.
(Reporting by Jahmal Corner in Los Angeles; Editing by Ian Ransom)