The youngster has been targeted for his professional techniques by many worldwide clubs, including Manchester United and Chelsea.
United fear David De Gea will finally join Real Madrid this summer and the Spanish worldwide won't play again this season having already been left out of their last two games.
Jan Oblak reportedly has a £85m buyout clause in his contract with Atletico Madrid.
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Many feel Jose Mourinho is preparing for the 26-year-old's exit and the Daily Star claim that executive vice-chairman Ed Woodward could be left with no choice but to sanction a £60m deal with Madrid this summer.
Jamie Carragher believes that David De Gea is the best goalkeeper in the world - just ahead of Manuel Neuer.
United sources have told ESPN FC that Mourinho's preference is to keep De Gea due to his status as one of the world's top keepers.
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However, the Portuguese confirmed that De Gea would continue next season at the club.
United will demand £60m for De Gea and manager Jose Mourinho has identified Oblak as a potential replacement for the Spain worldwide.
Oblak made his name in Portugal after helping Benfica win the domestic treble in 2014 and his potential earned him a big-money move to Atletico Madrid that summer.
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Oblak is strong and confident in the air, so he should be well-suited to the rigours of Premier League football, and his reflexes and shot-stopping are truly remarkable even for a 'keeper of his already considerable standing.