Soldier F, who cannot be identified, is accused of murdering James Wray and William McKinney when members of the Parachute Regiment shot dead 13 civil rights protesters on the streets of Londonderry in January 1972.
Mr Justice Fowler said he wants to review progress around disclosure in four weeks’ time before setting a date for the trial.
The court heard that a separate judge is to be appointed in the next few days to look at issues around the disclosure of material for the trial.
The trial of a former paratrooper accused of the murder of two men on Bloody Sunday is likely to be listed to start in September.
Relatives of Mr McKinney watched on from the public gallery.
