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.
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