The Supreme Court is to hear an appeal by Seán Quinn Jnr against the findings of contempt of court against him and his committal to prison in early October.
Lawyers for the Quinns asked the court this morning to give priority to the appeal by Mr Quinn Jnr.
Mr Quinn was sent to prison for three months last Friday for breaching court orders preventing him from interfering with assets of the Quinn International Property Group.
The three-month term is due to end on 20 October.
However, if the court is not satisfied that action has been taken to comply with court orders and reverse asset stripping of the International Property Group, Mr Quinn could remain in prison indefinitely.
Senior Counsel Bill Shipsey argued that Mr Quinn Jnr's contempt was a "minor matter" as he was accused of breaching court orders only in relation to one of three matters the court had to consider.
But Senior Counsel Shane Murphy for the IBRC said the High Court had found the contempt to be of the most serious kind.
Chief Justice Mrs Justice Susan Denham said the court would give the appeal priority and would fix a date in early October.
Mr Shipsey said the team of lawyers acting for the Quinns would not be acting for Peter Darragh Quinn from next Tuesday.
The Commercial Court will hear an application from the lawyers for Peter Darragh Quinn to come off record.
Peter Darragh Quinn has not been in touch with his lawyers since the early hours of last Friday morning.
Mr Shipsey said he did not turn up in court "to the surprise of everyone".
Seán Quinn Snr is also appealing the contempt findings and orders against him but lawyers are not seeking priority for his appeal.
Mr Shipsey said his son's appeal was urgent as he was in prison.