The International Jury will hear applications from Emirates Team New Zealand and Luna Rossa Challenge beginning on Monday morning.
The two cases have been consolidated and will heard together with parties being given the opportunity to speak to their submissions.
International Jury chairman David Tillett says the hearing will last as long as is necessary to hear the evidence.
"We'd like to have a decision on Wednesday," he said.
Both Emirates Team New Zealand and Luna Rossa are arguing Regatta Director Iain Murray exceeded his authority when some of his 37 Safety Rules effectively changed the AC72 Class Rule.
The Regatta Director argues the changes are necessary to run a safe regatta and are in line with the Rules of the event.
Full bios of the International Jury are available here.