Mclean, 27, has scored 14 goals in all competitions this season and has notched 83 times in less than 200 games for the Posh since joining from Grays four years ago.
Just this week Peterborough director of football Barry Fry told the Peterborough Evening Telegraph: "We are faced with a situation where we will probably lose money hand over fist.
"The chairman is continually putting his hand in his pocket and knowing him he will continue to do so. But if he asked for my advice in January about selling a player I'd tell him to go for it.
"I would probably have sold Aaron Mclean for £2million to Wolves when we had the chance and Craig Mackail-Smith to Leicester for £1.5million and George Boyd to Middlesbrough for the same, but the chairman has only ever been interested in winning football matches, not cashing in."
Hull have recently been taken over by local businessmen Assem and Ehab Allam and had a bid rejected for Swindon striker Charlie Austin this week.
Source: PA
Source: PA