The duo sustained the injuries during practice and are now in a fitness race to be ready for their clash with the San Francisco 49ers on Sunday.
McCarthy told reporters: "Morgan Burnett and Brad Jones both came into today with some hamstring soreness. They both had their hamstrings injured, so we'll see how it goes.
"We'll be smart with those guys. Forty-eight hours, it's important to get those guys ready to play the game. Hopefully, it's nothing more than that."