That is the view of La Liga expert Guillem Balague.
Reports in Spain suggest both clubs have even lodged £86m bids with his agent Christophe Henrotay understood to have confirmed European clubs are showing interest.
Yannick Carrasco is attracting interest from Chelsea and Manchester United
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Atletico Madrid are in a position where they don't need to let anybody go and they have the finances to keep players
But according to Balague, Atletico Madrid are keen to keep hold of him – and if Diego Simeone stays on at the end of the season a move in the summer would be unlikely.
Asked if Carrasco would be leaving for United or Chelsea in the summer, Balague told Sky Sports: "Atletico Madrid are in a position where they don't need to let anybody go and they have the finances to keep players.
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"The main issue is if Simeone stays. If he stays he will want the same team to be improved on and will not want to sell any of their stars like Carrasco."
Yannick Carrasco reportedly has an £86m release clause
Guillem Balague reckons Diego Simeone will be keen to keep hold of Yannick Carrasco
Carrasco, who has scored 10 goals in all competitions for the Spanish outfit this season, is under contract at the Vicente Calderon until 2022 and is understood to have an £86m release clause.
His team-mates Antoine Griezmann and Kevin Gameiro have also been linked with big-money moves to Old Trafford of late.