However, it appears as though he isn't the only goalkeeper being linked with a move to Man Utd this summer, as the Manchester Evening News claim that Benfica's Ederson is also on the transfer shortlist.
Real Madrid are ready to enter the race for Jan Oblak having already moved to sign Theo Hernandez from rivals Atletico Madrid this summer.
According to the Daily Star, manager Jose Mourinho will target Atletico Madrid shot-stopper Jan Oblak should the Spaniard leave in the next transfer window.
It's suggested that the 23-year-old is a prime candidate along with Oblak to fill De Gea's shoes once he leaves, although the Red Devils could face competition from Manchester City for his signature this summer.
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The Red Devils are desperate to keep De Gea at the Theatre of Dreams, but know they will have a fight on their hands as long-time admirers Real Madrid, who nearly signed the keeper in 2015, remain heavily interested in the player, who is also said to have a lifelong dream of playing for Los Blancos.
The Old Trafford club have done the groundwork and spoken to Atletico Madrid goalkeeper Oblak, who is keen on making the switch.
United would demand a world-record fee for a goalkeeper of £60million, if they decide to sell the 26-year-old.
I think the next time he plays will be against Los Angeles Galaxy during the preseason tour.