The man found guilty in the speedboat death of Charlotte Brown will face a longer wait to find out if his manslaughter conviction will be overturned by the Court of Appeal.
Jack Shepherd was jailed for six years over the death of 24-year-old Ms Brown, who was thrown from his boat when it overturned on the River Thames in December 2015.
The 31-year-old challenged his conviction last week, and the case was heard today.
His lawyers argued his conviction is unsafe because some of the evidence at his trial came from an interview during which he was not cautioned or offered a solicitor by police.
Judge Sir Brian Leveson said the court will give its ruling on the appeal within a week.
Ms Brown’s family have sat in the public gallery through the hearing, and Sir Brian said he feels sympathy for them.
“We are very conscious of the loss that they have suffered and nothing we have said is intended to detract from the sympathy we feel,” he said.
Shepherd went on the run ahead of his trial and was convicted in his absence in July 2018.
He was later extradited to the UK from Georgia after he handed himself to police in the Georgian capital Tbilisi in January.
Jurors heard that he and Ms Brown had been drinking champagne and went on a late-night jaunt in his boat past the Houses of Parliament on their first date.
Shepherd had handed the controls to Ms Brown just before it capsized, tipping both of them into the cold water, the court was told.