Madrid are also not ready to open their cheque book to test Chelsea's resolve in their bid to sign Courtois's national team-mate Hazard, who has publicly stated his desire to join Los Blancos.
Following his Golden Glove performance at the 2018 World Cup, Madrid has been heavily linked with Courtois as an upgrade from Costa Rican worldwide Keylor Navas who has served as the starting goalkeeper for each of the last three years at the Bernabeu.
However, reports have suggested Red Devils executive vice-chairman Ed Woodward is reluctant to release funds.
But Willian has insisted he is happy in London and is not looking for a Chelsea exit before the August 9 transfer deadline.
Speaking to Brazilian TV show Esporte Espetacular, he revealed his plans to return to "his club" and when pushed on which club that was, he said: 'I'm back to England.
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"I don't know why he didn't feature more for Chelsea", Burley told ESPN FC.
"I'm very happy living in London".
Fans of the current Champions League holders might seem a little disappointed that they are choosing such a player to replace the departed Cristiano Ronaldo especially as the reported £55 million fee is just over half the amount their star man was sold for.
Real Madrid are eyeing both Hazard and Courtois, with the Belgium goalkeeper the most likely to leave Stamford Bridge this summer.