Revis said that Sherman, who plays for Seattle Seahawks, should focus on his own career instead of trying to get one over him.
"I don't have to prove nothing to nobody," Revis told USA Today. "I put my game on film, and people can see the results.
"You can't crown yourself as anything in this league. You've got to earn it. He needs to quit attaching his career to my career.
"A lot of people need to have respect for this game. I'm not just talking about him. Respect what people have done to pave the way."
Revis spent the first six seasons of his career with the New York Jets.