Leeds United were interested in signing Marcus Maddison from Peterborough United last January.
Tottenham Hotspur goalkeeper Luke McGee has impressed on a loan spell with Peterborough United.
The Peterborough director of football is currently in talks with Swindon regarding Ajose's future.
The striker is set to complete a move from Crystal Palace this summer.
Leeds United summer 2013 target Tommy Rowe has been released just one year on from Peterborough United director Barry Fry suggesting the Yorkshire club couldn't afford to sign him.