Discussions between United and Morata's club, Real Madrid, have been ongoing, but a disparity in the fee is believed to be holding things up.
However, according to The Sun, Morata has let slip he might be moving to Manchester by 'liking' an Instagram post by Red Devils midfielder Juan Mata.
Mata, who is Spanish teammates with Morata, posted a photo of him playing football on a gravel pitch.
The caption read: 'Wherever. Whenever. #TheBeautifulGame'.