The 26-year-old Real Madrid midfielder is high on Michael Carrick's list, and it's believed a package deal of £75m plus £5m in add-ons would be enough to get a potential deal over line.
The first contacts between United and Real are expected to take place over the coming days, as United intend to travel to Madrid to hold talks soon, as per José Félix Díaz of AS.
Tchouaméni's current contract with Los Blancos is valid until June 2028, but it is believed Real would be willing to sell should a hefty transfer package come their way from Manchester.
It comes after it was revealed that Brazil's Ederson has undergone his second medical ahead of a proposed £35 million deal from Atalanta, which is now expected to be fully completed following his nation's exit from the World Cup against Norway in a 2-1 last night in the round of 16.
With a return to the UEFA Champions League in 2026/27 following a third place finish in the Premier League last season, Carrick and United will hope to entice the Frenchman to make the switch to Old Trafford and become a Red Devil this summer.