The Spanish side have long been expected to sign the 23-year-old after courting him for a year.
Reports said United were ready to pounce on Madrid’s dithering by trying to strike a deal for Van de Beek.
However, TMW claims that Madrid have gone ‘full speed ahead’, perhaps motivated by United’s interest.
Negotiations are ‘near to a conclusion’ with Van de Beek close to joining Los Blancos on a five-year deal.
De Beek is expected to cost between €40m and €50m when he leaves Ajax this summer.