Mr Aregbesola, through his lawyer, Mohammed Sheriff, cited lack of confidence in the judge, in his seven-ground argument.
The cases were formerly before Justice Emeka Nwite, who sat as a vacation judge during the Christmas break.
The former AGF and his son, Abdulaziz, is also being prosecuted by the SSS on a five-count charge bordering on alleged terrorism before Justice Joyce Abdulmalik.
The Federal High Court will commence its Christmas vacation on December 19.
The CJ said the vacation court would hear urgent and sensitive legal matters within the zone during the upcoming long vacation.
Ms Nyako ordered that no party or counsel in the suit should grant media interviews pending the hearing and determination of the case.
Justice Binta Nyako earlier noted that she could not proceed with a trial where a defendant lacked confidence in the court.
The Federal High Court, Abuja Division, adjourned the trial of Nnamdi Kanu, leader of IPOB, indefinitely on Monday.
Mr Tsoho wishes his fellow lordships a wonderful Merry Christmas and a Happy New Year in advance.
He held that stopping the election would not serve the interests of justice.
