"We're not yet real favourites", insisted Lukaku, who may get a rest against England after taking an ankle knock.
"I know Rom well, I spent the biggest amount in Everton's history on a player because of the quality of his finishing, not because he was a player that could contribute things other than scoring goals", he said.
The two sides face each other to decide who tops Group G, with Roberto Martinez already promising to make "major changes" to his Belgian line-up.
Though Michy Batshuayi came on in his place, and produced an equally impressive performance as the forgotten Chelsea man netted a goal, and also produced the most shots of any player despite being on the field for less than half an hour.
But Belgians are wary, having started tournaments strongly before only to fail, as they did at the last World Cup and at Euro 2016, in the quarter-finals.
Now, Drogba has revealed his delight at the fact that Lukaku seems to have taken his advice on board after his two-goal haul against Tunisia at the weekend.
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He has levelled with Portugal's Cristiano Ronaldo as the 2018 FIFA World Cup top scorer with four goals. A second yellow would see them miss the first knockout game.
Chelsea star Eden Hazard suffered a calf injury as his side won comfortably 5-2 against Tunisia in Russian Federation. "So after five minutes we scored, and we controlled the game".
The North Africans cut the lead through defender Dylan Bronn's 18th minute header, but Belgium settled the game with goals either side of half time.
"To be a favorite in a World Cup, you need to have the know-how of winning a World Cup", he said. "People can say whatever they want about our team and about me".
When pressed on whether Belgium are now a good bet for the trophy, Martinez said there was a need to build the players' own expectations, balancing focus and self-confidence.
"There were some moments (against Tunisia) that were not so good so we will try and improve that in the next couple of games".