Real Madrid, Chelsea, Arsenal and Inter Milan are all interested in signing the 17-year-old striker.
Anderlecht have put a £20million asking price on the striker.
The Mirror reports that Tottenham have sounded out Anderlecht to try and make the first move for the striker.
Lukaku’s agent Christophe Henrotay said: “Many clubs are interested and the decision is not easy. It’s necessary to find the best option and that’s not just about the financial issue.”