According to Reuters, via eurosport.yahoo.com, the young striker harbours ambitions of playing in the elite European competitions and sees a return to London as his natural choice.
Lukaku said the following to Belgian daily Het Laatste Nieuws, per the Reuters report:
I'm turning 21, I've been a professional for five years already. It is time. It is high time that I play in the Champions League. It is the next step I need in my development. Full stop. Cristiano Ronaldo and Wayne Rooney were experienced already at that level when they were just 23-24 years old.
I want to play Champions League football now. I must now show I'm ready for it. I still have two years on my contract and I know Chelsea follow my development. In the end it depends on what the manager thinks about me.
After the season I had at West Brom it was important that as a young player I kept developing. That means to play. To me there is difference between playing in 20 or 45 matches a season and scoring 10 or 20 goals. Mourinho eventually understood that.
If I can be better than I was last season, what is then holding me back? Then it will be time to play Champions League football, which is what I want to do.
Lukaku has been a great success on Merseyside, scoring nine times in 19 games for the Toffees in the league, per Squawka.
The news will please Chelsea fans, who felt they may well have lost the player following what appeared to be a falling out with Jose Mourinho.
"The Special One" was quoted by Joe Ridge of The Daily Mail as saying, "Romelu likes to speak. He's a young boy who likes to speak. But the only thing he didn't say is why he went to Everton on loan. That's the only thing he never says. And my last contact with him was to tell him exactly that."
The healing of any wounds in the relationship between manager and player will be hugely positive for Chelsea, as their problem position is at striker. If the club had a fit and healthy Lukaku in their ranks, they would surely be even further ahead in the title race.
Lukaku is the antidote to the West London team's issues, and he is the heir apparent to Fernando Torres, who still cannot score the goals his wage packet demands. Roman Abramovich would need to spend a huge amount of money to replace Torres. Given his age, Lukaku is the cheapest and most sensible choice.
Will Jose Mourinho place his faith in Romelu Lukaku next season or look elsewhere?
He has shown how comfortable he is playing at the top end of the Premier League, and there is no doubt he will slot straight into Chelsea's first team. With a fluid attack of Eden Hazard, Willian and Oscar behind the power of Lukaku, the Blues would be incredibly well-positioned to capture their second Champions League trophy.
The prospect of that attack should frighten everyone, and Mourinho will know he is only a few short months away from unleashing it on every club in England. After the January capture of Nemanja Matic, Chelsea are well on their way to adding more trophies to their collection.