The Spanish forward has been linked with a move to Old Trafford as he struggled to break into Zinedine Zidane’s starting XI.
According to the Independent website, Los Blancos are not looking to settle for less than £79m for the 24-year-old.
Morata’s father and representatives spent nearly an hour in a meeting with Madrid’s hierarchy in order to convince the club to put pen to paper on a transfer deal.
Meanwhile, United are close to announcing the signing of Nemanja Matic – the midfielder will join forces with Mourinho once again for the third time in his career.
Matic was present at Chelsea’s kit photoshoot but was left out of all the images that surfaced once the club’s new 2017/18 jersey was released.