The French goalkeeper has long been linked with a move to White Hart Lane.
Aulas told French radio station RMC: “Hugo wants to play in one of the best clubs in Europe.
“This year there was an approach from Tottenham that was quickly rejected.
“If he absolutely wants to leave, we will look at the proposals but they must be consistent with what we want. If not, he will stay.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.