It was announced earlier this month that Rihanna will sing during the awards ceremony, set for February 10.
Sources close to the singer claim that he wants to perform with Rihanna at the Grammys "to show the whole world they are back together", The Sun reports.
Brown and Rihanna, who split in 2009 after reports of him beating her emerged, recently went public with their reconciliation.
Friends add: "Chris doesn't care what the haters say, and wants to give the viewers an over the top performance with Rihanna. He wants the fans to know this is the real deal, and he is a changed man.
"If Rihanna can forgive him, the rest of the world should move on from what happened four years ago."
It was recently alleged that Brown's ex-girlfriend Karrueche Tran and Rihanna are currently feuding over him.
Watch the video for Rihanna's 'Where Have You Been' below: