The Special Criminal Court has told Patrick Hutch's defence counsel that unless something extraordinary is required, the murder trial will go ahead next week.
The prosecution claims the 25-year-old from Champions Avenue in Dublin was the man dressed as a woman carrying a gun when David Byrne was shot dead at the Regency Hotel on 5 February 2016.
He denies charges of murder and related firearms offences.
The case has been adjourned because the defence is seeking disclosure of communications between four gardaí involved in the investigation.
Prosecuting Counsel Sean Gillane said this had become "simply unmanageable" when searching thousands of emails until the scope of the search was "narrowed."
However he said this still entailed downloading and printing thousands of emails and they were not going to "turn their back" on the request.
Defence Counsel Michael O'Higgins said he could not say whether or not the material was relevant until it was examined.
Mr Justice Tony Hunt said the three judges were not going to "torture" themselves with this on a daily basis.
He said they were going to put "a floor under this" as regards getting on with the trial.
He said unless there was "a very very good reason to the contrary" the trial would proceed next Tuesday.