Umenyiora, entering the final year of a seven-year, $41 million deal, has been outspoken about his contract status for the past two seasons.
In April, the 30-year-old former Pro Bowler wrote a letter to the New York Daily News expressing frustration that linebacker Mathias Kiwanuka was offered twice as much guaranteed money in his new deal -- $10.95 million -- as Umenyiora was offered during his negotiations with general manager Jerry Reese prior to the 2011 season.
"Last year I was offered incentives," Umenyiora wrote in the email. "This year they offered me in guaranteed money, HALF of what they just gave Kiwi guaranteed. HALF. I'm not making that up.
"Then Jerry tells the world they offered me an extension and I turned it down," he continued. "And I look like a greedy pig for turning it down. Hilarious."
Last season, Umenyiora held out of training camp for a day before reporting in July, saying Reese hadn't followed through on a promise to renegotiate his deal.
Umenyiora could not be reached for comment and had not posted on his Twitter account since Monday.
Information from ESPNNewYork.com's Ohm Youngmisuk contributed to this report.