Limits on how far people can travel from their homes could be scrapped ahead of schedule.
It's due to be extended from 5 kilometres to 20 kilometres if restrictions are eased again on June 8th.
The limit may only stay in place until June 29th - and could be dropped heading into phase 3.
The Sunday Independent reports museums, galleries and hairdressers could also be allowed to re-open early.
Professor Mary Horgan, consultant in infectious diseases at Cork University Hospital, says the travel restriction has served a purpose: