The court action taken against the SPFL and three clubs by Hearts and Partick Thistle at the Court of Session in Edinburgh has been pushed back a day.
The hearing will take place via video conference from 11:00 BST on July 1 and will be presided over by Lord Clark.
This process should take up to two hours and will determine where the case goes and how it will unfold.
The SPFL - with Dundee United, Raith Rovers and Cove Rangers - had until Thursday to respond to the petition.
Hearts and Thistle are challenging their respective relegations from the Premiership and Championship.
United, Raith and Cove were declared winners of the Championship, League One and League Two and the petition asked for a judge to scrap promotion and relegation for the 2019-20 season.
The action came after SPFL clubs failed to support the league's proposal for reconstruction, which would have kept Hearts, Thistle and League One's bottom side Stranraer up.