Sky Sports News HQ reported as much on Tuesday:
He had earlier confirmed he and agent Mino Raiola already knew what his future will be. He told Sky Sports News HQ's Gary Cotterill: "My agent knows what's going to happen. I know what I want to do, and whenever something happens, you guys will know."
Per Ciaran Kelly of the Manchester Evening News, United and Chelsea are interested in the striker, while Bayern Munich have joined the hunt for his signature.
According to Kelly, Roger Lukaku, the player's father, is especially keen on his son moving to the German side, while Cotterill also noted Serie A giants Juventus have been linked with the Belgian.
Bleacher Report's own Dean Jones noted the impact his arrival could have at Chelsea:
The 24-year-old enjoyed yet another prolific season in the Premier League, notching 25 goals to take his tally to 85 in the competition in 186 appearances.
Everton shared a number of them on Twitter:
Meanwhile, as Squawka Football further illustrated, Lukaku is capable of scoring a variety of goals thanks to his ability to finish with either foot or his head:
United need a ruthless finisher if they're to challenge for the Premier League title next season, having spent much of last year being held to draws after missing countless chances.
With Lukaku also bringing pace and power to the party, he'd make an outstanding candidate to improve the Red Devils attack.
He's by no means perfect, though, as Bleacher Report's own Sam Tighe noted:
His first touch is questionable at times, which can be a source of frustration when the Toffees need him to hold the ball up or it causes an attack to break down.
Kelly reported the striker is likely to cost a world-record fee of around £100 million, and it would be understandable if United had some reservations about paying that amount given he's not a perfect player.
However, his goal record speaks for itself, and he could thrive at Old Trafford given the number of chances that will likely be created for him.
It's clear there is a great deal of interest in his signature.
United should have a financial advantage over Bayern and Juve both in terms of the transfer fee they can offer and wages, but the pair can virtually guarantee league titles and the ability to compete in the latter stages of the UEFA Champions League, so they could still be the club he has an agreement with.
Likewise, Chelsea can compete with United financially and he could have a desire to go back there and prove himself after being cast aside without given much of an opportunity to prove himself—they too could be the club in question.