Prosecutors are seeking to recover around Â£250,000 ($391,489) from John and Anne Darwin, the Press Association reports.
Mrs Darwin had claimed the money after her husband disappeared in 2002 while canoeing in the North Sea.
Family and even the couple's sons were told that Mr Darwin had died. Yet in 2007, he walked into a police station claiming to have amnesia.
After hitting the headlines around the world, the Darwins' elaborate fraud began to unwind when a picture of the couple posing with a Panamanian property developer surfaced on the internet.
Mr Darwin was jailed for six years and three months for fraud last July, while Mrs Darwin was sentenced to six-and-a-half years for money laundering.
They will appear at Leeds crown court for the proceeds of crime hearing in the week commencing November 9th.