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Odell Beckham's Cousin -- Not Giving Up on NFL ... 'Several Teams Interested'

Related Topics: The Medicine Men, New York Jets

No Jets? No problem ... 'cause Odell Beckham's cousin Terron Beckham says he refuses to give up on his NFL dream -- telling TMZ Sports he's already gotten interest from other teams.

FYI, Terron had a try-out with the NY Jets this week -- but the team elected not to sign the running back, despite praising his athletic ability.

Now, the 23-year-old musclebound fitness freak -- who hasn't played organized football since 2010 -- says it's on to the next one.

"I have my experience with my first team under my belt and got the nerves out .