The urgent application by 73-year-old Australian Gary Newman was made on Wednesday following the travel ban which came into effect on Monday.

Chief Justice James Allsop on Thursday told the parties to quickly get their papers in order as he had found a judge to preside over the matter.

"Sorry about Mother's Day," Chief Justice Allsop said.

Christopher Ward SC, representing the Bangalore-based Australian, said they would be making a case for an implied constitutional right, while the fundamental common law right of citizens to re-enter the country in these circumstances will also be reviewed.

May 13 has been set down as the final date for determination to give the court time to reach a view prior to the expiry of the travel ban which is two days later, the court was told.

If the travel ban is not renewed then the case may become moot.

Craig Lenehan SC, who is representing the health minister, said they were prepared to fit in whatever timetable the court was willing to accommodate.

Michael Bradley, whose law firm is behind the case, said the minister's determination under the biosecurity act was invalid.

"It's not effective in law, and it sets an extraordinary and appalling precedent, and that needs to be challenged," the Marque Lawyers managing director told ABC on Wednesday.

Mr Newman's application is made on four grounds, with two centring on the application of the relevant laws.

"I think most Australians would have always thought that one of the basic attributes of citizenship is that you can come home," Mr Bradley said.

"That is, at the moment, criminalised."

The hearing has been set down for Monday morning depending on legal matters which may push it to an afternoon slot.

Australian Associated Press