The Belgium global, 24, is one of the most sought-after strikers in the Premier League after scoring 25 top-flight goals for the Toffees last season.
And it is that prolific nature that has seen Lukaku being linked with every top club in the world, especially Chelsea.
But now he is out of the question, The Independent claims Morata is "still hoping" Chelsea turn to him.
Mourinho, though, will be happy with the club's lightning quick pace to move for Lukaku - a striker he has a healthy relationship with despite agreeing the player's sale during his time at Chelsea.
After Zlatan Ibrahimović's contract expired this June, United are in dire need of an elite goalscorer, and Lukaku would quickly solve their problems. If that is the fee United are set to pay, that would make Lukaku's move the fifth most-expensive in the history of football.
Baby Will Not Be Transferred to Rome Pediatric Hospital
Charlie's mother thanked the Vatican children's hospital for their offer, reiterating that "as long as he struggles, we struggle". In a statement the Vatican said the Pope "expresses his closeness to his [Charlie's] parents".
Song Joong-ki, Song Hye-kyo's love story
This is Blossom Entertainment and United Artists Agency. "Also, we ask for your understanding as we convey this surprising news". Their agencies, UAA and Blossom Entertainment, announced the news by issuing a joint press release, according to Yonhap News.
Fed weighing when to start selling off trillions in bonds
As the Fed raises rates, lenders have lowered borrowing costs, the opposite of the effect intended by the central bank. Fed officials updated their balance-sheet policy in the gathering, laying out a path of gradual reductions with caps.
Is Rooney on his way out of Man Utd back to Everton?
The deal for Rooney is expected to be confirmed by the end of the week, according to widespread claims in Wednesday's newspapers. Rooney underwent a vigorous training session with United's sports therapist Rod Thornley before he quickly left the scene.
Samsung's Pyeongtaek chip complex starts production
In the proposed 37 trillion won, Samsung vowed a 30 trillion won investment for expanding semiconductor facilities. South Korea's economy could also benefit if Samsung Displays builds a new OLED manufacturing site in Asan by 2018.
Qatar defiant after missing sanctions deadline
Turkey sees Qatar as its top Gulf ally but is also keen to improve relations with regional heavyweight Saudi Arabia . Foreign ministers from the Saudi-led bloc are scheduled to meet in Cairo on Wednesday to chalk out further moves.
EU, Japan laud free trade deal as antidote to protectionism
On the Japanese side, however, press secretary Norio Maruyama stressed that he was "not quite sure how long it will take". The European Union and Japan have agreed on a broad free trade deal, with their leaders shaking hands on it Thursday.