"After six wonderful years at Chelsea it might be time to discover something different", he told reporters after Belgium achieved their best World Cup finish.
The Belgian was the standout keeper in this year's World Cup, capturing the tournament's Golden Glove following several impressive outings between the sticks.
In the meantime, Chelsea fans were happy with what they heard and can look forward to seeing some pulsating football at the Bridge.
Real are keen on luring the 27-year-old to the Spanish capital and have money to spend following the sale of Cristiano Ronaldo to Juventus in a near-£100million deal. "I hope I will manage to improve him - this is very hard given the level he has reached".
Jorginho had previously been strongly linked with a move to Manchester City this summer but the Blues ended up completing a deal to bring the midfielder to Stamford Bridge.
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Maurizio Sarri is battling to keep hold of his star players while also looking to recruit before the new season is underway.
'This is post a World Cup so many [players] have to come back will take time to build different way of playing [but] all good things of Antonio must be left and not changed. Sarri, by contrast, said transfer talk bores him.
The 59-year-old Italian speaking at his unveiling, after being appointed the successor to sacked compatriot Antonio Conte, admitted to being disinterested by the transfer market.
Sarri did say that Chelsea need a couple tweaks to the roster however in order to play his brand of attacking football, and named the central midfield as the area in need of a revamping. I'm not that interested in it. It was misconstrued. These were mistakes, that is for sure.
"I know this will be an extremely hard challenge for me". I am an extremely open person, I do not have these kind of problems. "I hope to do it in a few weeks". "These mistakes were made, but when someone makes a mistake they must apologise and accept allegations can be made by the press".