The pair are both charged with perverting the course of justice over an allegation that the former energy secretary persuaded ex-wife Vicky Pryce to take his penalty points for a speeding offence almost a decade ago.
Huhne remains the Lib Dem MP for Eastleigh but stood down from Cabinet to fight the charge.
A trial at Southwark Crown Court, in London, was due to begin this week but has been adjourned until January 14 for legal reasons.
The events which led to the charges date back to March 2003, when Huhne's car was allegedly caught by a speed camera on the motorway between Stansted Airport in Essex and London.
Accusations of impropriety emerged only in 2010, after the father-of-five admitted an affair with PR adviser Carina Trimingham and ended his 26-year marriage.
It is alleged that between March 12, 2003 and May 21, 2003, Pryce falsely informed police that she was the driver of the car, thereby accepting responsibility for the offence so Huhne could avoid prosecution.
Pryce, from Crescent Grove, Clapham, south London, has denied the charge, and the court previously heard her defence will be one of marital coercion.
Perverting the course of justice carries a maximum sentence of life imprisonment.