Tony Romo touchdown pass to ... LeBron James????
The King and his business partner say that damn-near happened way back in 2011 ... with Maverick Carter revealing Jerry Jones offered LBJ a contract with the Dallas Cowboys!!
Here's the deal ... LeBron said on an Uninterrupted podcast Monday he had such serious concerns about the NBA lockout in 2011, he actually began training for a pro football career.
The Lakers superstar -- who was with the Miami Heat at the time -- says he changed up his whole workout routine in the event he would have to switch sports.