The 35-year-old is fighting being moved to America over alleged offences including rape.
A rape suspect fighting extradition to the US is expected to find out whether he will be sent to America.
Nicholas Rossi is due to appear at Edinburgh Sheriff Court on Wednesday morning.
Rossi, 35, is wanted in the US in connection with alleged offences including rape and is contesting moves by authorities there to have him flown over to face legal proceedings.
He claims to be an Irish orphan called Arthur Knight, a victim of mistaken identity.
The hearing on Wednesday was postponed previously on medical grounds.
Rossi was arrested in the UK more than two years ago in connection with the alleged offences in the US.
He was being treated for Covid-19 at the Queen Elizabeth University Hospital in Glasgow when he was detained in December 2021.