Fourteen jailed former MPs in Vanuatu could be a step closer to having their convictions quashed.

The 14 men, who were jailed last year for taking bribes to cross the floor, have applied for their convictions to be overturned due to parliamentary immunity.

Section 27 of Vanuatu's constitution prohibits MPs from being prosecuted while parliament is in session.

The Vanuatu Independent reports the judge hearing their constitutional application, Justice JP Geoghegan, told his court on Tuesday there was circumstantial evidence the 14 attended a hearing on June 12, 2015, during a session of parliament.

The Vanuatu Daily Times reports the applicants were advised by their lawyers to appear in court that day to comply with bail conditions.

The hearing continues.