Phases 3 and 4 are under review.
The Taoiseach has confirmed the government's working on plans to bring forward the reopening of hairdressers.
Under the current roadmap, salons aren't due to reopen until July 20th - but this could be fast tracked.
A spokesperson for Leo Varadkar says phases 3 and 4 are currently under review and are subject to change.
This means hairdressers, pubs, gyms could reopen sooner than scheduled.
However, Mr. Varadkar has warned that this depended on the virus remaining under control and there was always a risk it "might make a comeback".