The Sunday Mirror says Chelsea will step up their bid to sign Lukaku despite their change of manager.
The £20m-rated Belgium star, a target since Carlo Ancelotti's time in charge, is also wanted by new boss Andre Villas-Boas.
The clubs have held talks and the 18-year-old has visited Stamford Bridge.
"But we will only sell him if it is good for both ourselves and the player. We are asking serious money for him."