Odell Beckham's Cousin is Gunning for the WWE

Odell Beckham's cousin, Terron Beckham, says he pivoting from his NFL dream ... and trying to pursue a career in the WWE as a jacked up pro wrestler!!!

Terron famously earned himself a tryout with the NY Jets earlier this year -- and although coaches were impressed, he didn't get a contract.

Still, Beckham has been training like a maniac to pursue a career in pro sports -- and says he's recently been in contact with the WWE.

In fact, he joined the guys on the "TMZ Sports" TV show (airs Thursday night on FS1) -- and talked about his possible wrestling name and finishing move!!

Look out, AJ Styles ... Terron's comin'.