The three-day hearing will be heard at the Court of Session in Edinburgh following a campaign by The No Kingsford Stadium (NKS) protest group.
Planning permission for Aberdeen’s new 20,000-seater stadium was granted last January.
Morrison started work on the first phase – a new £11.5m training centre – last summer.
Raymond Edgar, project director for the club, told The Press and Journal: “Our proposal represents a £50million private investment in the region, which will benefit the club, the local community and the region overall.
“We are committed to contracting local companies in its construction and those appointed for phase one are already supporting and creating local jobs.
“Work is well under way on phase one and will only stop if the courts find against the council following the hearing.
“The hearing will only look at the process by which the planning application was granted and we are confident that due process was followed, allowing councillors to vote overwhelmingly to grant consent.”