Two bids have already been rejected by the Sky Blues who are reported as wanting £2m for the striker signed in the summer from Southampton and Best was heavily booed by City supporters when he came on as an 89th minute sub against Millwall yesterday after handing in a transfer request.
The paper claims to have spoken to a friend of the Nottingham born forward, who said: "Leon is really browned off with Coventry. He is not happy at all.
"He is so keen to play for his home town club that he is ready to drop a division and play for less money.
"This shows this is not a money or status move - it's more a heartfelt passion to play for his local team."