"It feels like that team is giving up on you," said Revis, introduced in Tampa one day after taking a physical and completing a six-year, $96 million contract with no guaranteed money.
The next time he sees his former teammates will likely be on September 8, when Revis returns to MetLife Stadium as a member of the Jets' opponent in Week One.
"It's going to be fun," Revis said.
The Jets received the Bucs' No. 13 pick in the first round and a fourth-round pick in 2014 that could become a third-round selection if Revis is on the roster the third day of the 2014 NFL year.
Revis is coming back from a torn ACL, and he gave no predictions on an exact timetable for taking the field for the first time for the Buccaneers.
"I think I'm a great player," Revis said. "I feel like I'm a great player in this league."
At $16 million per season, Revis became the highest-paid defensive back in the NFL.
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Negotiations between the Kansas City Chiefs and Miami Dolphins, who have interest in offensive tackle Branden Albert, hit a major snag when Albert's contract demands caught the Dolphins off guard.
Albert, 28, reportedly has asked for a deal in line with Houston Texans' left tackle Duane Brown (six years, $53 million).
The Chiefs used the franchise tag to retain Albert, who was an unrestricted free agent.
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Seattle Seahawks safety Kam Chancellor has signed a four-year, $28 million contract extension with $17 million guaranteed, potentially keeping him in the fold until 2017.
Chancellor, 25, was a fifth-round pick in the 2010 draft.
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Linebacker Scott Fujita signed a one-day contract with the New Orleans Saints on Monday and then announced his retirement.
Fujita, who was one of the players named in the Saints' 'Bounty-gate' scandal, called it a career after 11 seasons.
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Cleveland Browns owner Jimmy Haslam said he has never been more embarrassed than he was last week reading an FBI affidavit of the fraud investigation into Pilot Flying J failing to process customer rebates.
Haslam said he placed several members of the Pilot administrative staff on leave while the legal matter is rectified.
Haslam said an independent investigation of "what did or did not happen" could be completed by July.
Haslam is not charged with a crime. But the FBI, citing current and former employees, claimed Haslam was aware of the fraudulent activity by the gas station and convenience store chain.
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ESPN and NFL Network have told SI.com that they agreed not to use Twitter to reveal draft choices before they are announced by commissioner Roger Goodell.
The agreement only includes the first two rounds of the draft, which begins with the first round on Thursday.
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Linebacker Rolando McClain, who signed a one-year deal with the Baltimore Ravens on April 12, was arrested on Sunday on suspicion of disorderly conduct and resisting arrest in Decatur, Alabama, multiple media outlets reported.
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