Earlier on Tuesday, WikiLeaks spokesman Kristinn Hrafnsson confirmed to Sputnik that the Swedish court will most likely hear Assange's request.
"The subject of the hearing is the custody question. So we have been granted an appeal as whether he should remain in custody or not, that is the big issue," Per Samulsson said.
He added that the whistleblower's defense will now have to wait for a couple of days to get more details from the Supreme Court.
"Normally it is a hearing in writing, not an oral hearing, but that is too early to predict whether there will be a formal hearing or not, we have to wait a couple of days, as the decision has just came," Samuelsson said.
Assange, who has been wanted for alleged sexual assault in Sweden since 2010, currently resides in the Embassy of Equador in London. He faces detention and extradition to Sweden if he steps outside.