The Everton forward is expected to leave the Toffees this summer and he is not short of offers.
Chelsea and Manchester United are both battling for his signature as they look to bolster their respective attacks.
Jose Mourinho is keen to reunite with the player he worked with at Chelsea by bringing him to Old Trafford as Zlatan Ibrahimovic's replacement.
Express Sport understands the Swede won't be offered a new deal following his long-term injury and Lukaku is being targeted.
Romelu Lukaku is attracting strong interest from Manchester United and Chelsea Romelu Lukaku transfer odds: Where next for the Everton star? Tue, June 6, 2017
Where could Everton ace Romelu Lukaku go next, according to Skybet odds?
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Arsenal – 33/1
My agent knows what's going to happen. I know what I want to do, and whenever something happens, you guys will know.
But Chelsea are also hoping to bring back the Belgian, who they sold to Everton in 2014, with Diego Costa's future uncertain.
Lukaku has said previously he wants to compete in the Champions League and both clubs have that to offer next season.
And the Belgian now seems to have made his decision – although he is yet to reveal it publicly.
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"My agent knows what's going to happen," the 24-year-old told Sky Sports.
"I know what I want to do, and whenever something happens, you guys will know."
Romelu Lukaku still has two years to run on his Everton contract
His agent Mino Raiola recently confirmed Everton will allow him to leave if they receive the right offer.
"Lukaku had a promise that if certain clubs came this summer that he could leave this summer," Raiola told talkSPORT.
"We are not in concrete talks with anybody at this moment, but hearing the market I think some clubs will contact Everton.
"If the price is right for Everton and the project is right for Lukaku then I think he will want to make another step, but we are not there yet."
Lukaku, who scored 26 goals in all competitions for Everton last season, is under contract with the Merseyside outfit until 2019.