Paul and Sandra Dunham are to be extradited to the US today.
The couple from Northampton were taken to hospital last Thursday after they took a drug overdose the night before they were due to hand themselves in to police ahead of being taken to US marshals at Heathrow Airport.
They were remanded in custody at Westminster Magistrates' Court on Friday after Senior District Judge Howard Riddle concluded they had taken the drugs deliberately to avoid or delay their extradition to face fraud charges.
Their solicitors have today confirmed the couple will be extradited to Maryland.
The couple lost a High Court battle last month against extradition to stand trial over fraud charges relating to Mr Dunham's company, Pace. The couple deny the charges.
A couple from Northampton who are facing extradition to America on fraud charges have been remanded in custody after a district judge ruled they took drug overdoses to delay or halt plans to send them abroad
Paul and Sandra Dunham were due to be handed over to US marshalls yesterday morning
Police broke in to their home when there was no answer at the door.
The judge at Westminster Magistrates Court, the judge ruled that there was a "substantial" risk the Dunhams would harm themselves again if released on bail pending extradition.
The court was told they made suicide attempts after Home Secretary Theresa May cancelled a planned meeting with their MP, Conservative Andrea Leadsom, to discuss their case.
A British couple have lost their High Court fight against extradition to the US over an alleged work expenses fraud.
Paul and Sandra Dunham launched their action after the US Department of Justice sought their extradition over what the couple claim is an "employment-related dispute".
Mr Dunham, 58, who was Chief Executive and President of Pace, a US company manufacturing soldering irons for the electronics industry, was indicted on 13 counts of fraud and money laundering by a grand jury in Greenbelt, Maryland, in December 2011.
His 57-year-old wife is accused of aiding and abetting him.
The couple, from Northampton, "vehemently reject" allegations relating to expenses claims while working in the US.
Their counsel Ben Watson had asked Lord Justice Beatson and Mr Justice Simon to allow their claim under Article 8 of the Human Rights Act, which relates to private and family life.
He said the couple's lives had been "shattered" and that extradition would be disproportionate in the circumstances.
The Dunhams were not in court in London to hear the judges dismiss their case.