Crown Prosecution Service barrister Helen Malcolm argued against permission to appeal by reiterating that the expert evidence on Nirav's mental health has not been disputed.
Sheth was named as an accused in a supplementary charge sheet filed by the Central Bureau of Investigation in the case earlier this year.
The high court has granted a consent order permitting Choksi to go to Antigua, where he has been staying as a citizen since 2018 after he left India.
The case was filed against the immigration minister of the Caribbean nation, its police chief and the investigating officer of the case.
Choksi, who is currently in Dominica facing trial, went missing from Antigua on May 23 and was caught in Dominica. Meanwhile, Nirav Modi is currently held at Wandsworth prison in South London.
PM Roosevelt Skerrit said his government will allow the court to carry out its process regarding Choksi and gave the assurance that his rights and obligations will be respected.
With the cooperation of Purvi Modi, it said, the ED has been able to recover about Rs 17.25 crore (USD 2316889.03) from the proceeds of crime, it said.
Modi's lawyers had five days to file a renewal application seeking an oral hearing to plead the case for permission to appeal against the extradition ordered by UK Home Secretary Priti Patel on Apr 6.
Mehul Choksi's 'abduction' internationl crime, brought shame to Antigua and Barbuda: Oppn party leader
Antigua newsroom reported that the United Progressive Party is siding with the version of events given by Choksi that he was abducted from Antigua and Barbuda.
These LoUs and FLCs were allegedly issued to Choksi's firms without any sanctioned limit or cash margin and without making entries in the bank's central banking system.
Mehul Choksi had mysteriously gone missing on May 23 from Antigua and Barbuda where he has been staying since 2018 as a citizen.
Rights of Mehul Choksi will be respected, says Dominica PM as fugitive businessman names 'friend' Babara, Indian agents in his 'abduction' complaint
The statement reported by local media outlet 'natureisle' quoted the Prime Minister as saying that court will decide what happens to Choksi next.
'He (Choksi) is currently in the custody of Dominica where some legal proceedings are underway. We will continue to ensure that he is brought back to India,' MEA spokesperson Arindam Bagchi said.
A Qatar Airways private jet landed at the Douglas-Charles airport in Dominica, Antigua News Room reported, leading to speculations about deportation of Choksi.
In an interview with ANI on May 28, Choksi's Dominica-based lawyer Wayne Marsh had said that my client was abducted from Antigua on Sunday (May 23) and beaten up.