The Hoops boss says the goalkeeper will definitely move on this summer, with the Gunners and Roma heavily linked with a move for the Brazil international
Goal understands Arsenal have opened formal talks with the goalkeeper and are willing to pay €1 million for the Brazilian who they have identified as their No.1 shot-stopper target.
However, the Gunners will face competition from Roma after the Giallorossi's loan swoop for Chelsea newcomer Wallace stalled.
Meanwhile, Redknapp has confirmed he is fully expecting the 33-year-old to leave Loftus Road, and anticipates him moving to a top club.
"Julio Cesar will move on," Redknapp told talkSPORT.
“He’s a top class goalkeeper, Brazil’s No.1. He’s been in great for Brazil and I presume there’s a big club out there for him.
"He won’t want to play in the Championship, he’s a goalkeeper for a big club.”