He spent the 2010 season on injured reserve, signing with the New Orleans Saints last season before being cut two weeks into his roster stint.
Kinne signed with the Jets as an undrafted free agent on April 30.
A three-year starter at Tulsa, Kinne completed his college career ranked second in school history in total yards (10,831), passing yards (9,472) and touchdown passes (81). He was named Conference USA Offensive Player of the Year as a junior after completing 60 percent of his passes for 3,650 yards and 31 touchdowns.
Last week, the Jets signed undrafted free agent defensive tackle Matt Hardison. He participated in the Jets' rookie minicamp on a tryout basis.
In two seasons at Delaware, he played in 24 games and recorded 29 tackles, including 6 1/2 tackles for loss. Hardison spent his first three collegiate seasons at Rutgers, appearing in no games.
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