Ambrose is wanted by former Palace manager Neil Warnock at QPR.
But Burley, who managed Ambrose as a youngster at Ipswich, is determined to persuade the player to stay. Burley said: "He scored 20 goals last season and he is a player I want to keep. He's a top player and we will be trying to get him to extend his contract."
He added: "I brought Darren through as a kid and gave him debut at 17 at Ipswich.
"I think maybe he was too young when he left Ipswich for Newcastle."