The final talk is expected to be completed in the coming weeks.
Varane with just one-year left on his current Madrid contract has no plans of extending his stay in Spain as he fancies a change of environment this summer.
With his intentions of leaving growing rapidly despite Madrid making every means to keep him, the LaLiga giants will now choose to cash in on him so not to lose him on a free agent when his contract expires.
According to reports, the deal for the French defender is likely to reach £42 million including add-ons.
Varane will become Manchester United's second summer signing after bringing in Dortmund's wonderkid Jadon Sancho for a reported £73 million which was finalised a week ago.
United topped the charts as the highest spenders in the summer than any other European club after the purchase of Sancho.
Following the acquisition of Sancho, United boss Ole Gunnar Solskjaer switched his focus on strengthen his central defence and an addition of Varane could be a solution to his desire.
In 2011 Varane joined Real Madrid from French club Lens and has since been their first choice at the centre-back, winning three La Liga titles and four Champions League titles with the Los Blancos.
Varane played in all four games for France in the Euro 2020 where they were eliminated in the last 16 by Switzerland.
Varane was part of France’s squad that won the 2018 World Cup, amassing 79 appearances for The Blues.
