Restaurants and pubs would be able to serve indoors from 5 July under plans set to go to Cabinet tomorrow.
This follows a recommendation by the National Public Health Emergency Team to the Cabinet Covid-19 Committee tonight.
The phased return of international travel was also under discussion, and the Government is set to consider easing international travel restrictions from 19 July which would clear the way for non-essential foreign travel.
It is estimated that two million more people in Ireland will receive a vaccine dose between now and then.
Tomorrow, the Cabinet will decide if Ireland will implement the EU Green Digital Certificate from that July date.
In relation to the Mandatory Hotel Quarantine list, France, Belgium and Luxembourg are expected to be removed from it. Mandatory Hotel Quarantine is to be used beyond 19 July for those entering the country without vaccines or a PCR test.
Speaking following the meeting at Government Buildings, Minister for Transport Eamon Ryan said that there will be a requirement to "ramp up" the necessary checks for travel.
"There is going to be a real requirement to ramp up the ability in the likes of our airports to do all the tests or checking we still need to do," he said.
"We saw in the UK when they started opening up some of the aviation in Heathrow, they had big queues. We have to start preparing. It will take a certain amount of time just to prepare to do all the checks we will need to do."
The Minister for Public Expenditure, Michael McGrath, has said that there is growing confidence that there will be a return to international travel in July.
However, speaking to RTÉ's Prime Time, he urged people not to book holidays for August until the Government makes decisions tomorrow.
The public health advice gives the green light for the reopening of hotels on 2 June and outdoor service at pubs and restaurants from 7 June.
Cinemas and gyms are also set to be allowed reopen from 7 June.
During June, up to 200 people can attend outdoor events at large venues rising to 500 on July.
From 5 July, indoor events with up to 100 people in attendance in large spaces are also on the cards. This would include weddings, for example. For small venues, attendance would be restricted to 50 people.
In early August, up to 5,000 people could be able to attend events in big outdoor venues, or 25% of capacity, whichever is the lower figure.
These proposals will be considered by Cabinet tomorrow.
The Taoiseach is set to announce the latest easing of restrictions tomorrow evening.
He said a decision in relation to a number of European countries and Mandatory Hotel Quarantine will also be announced tomorrow following the full Cabinet meeting.
Mr McGrath said the delay in the vaccination programme will not delay the plans for reopening the country.
He said today's briefing from NPHET said that the profile of the disease is quite stable.
He said NPHET had taken into account the spread of the Indian variant in the UK when advising the Government.
The minister said he believed the country was "in a really good place".
He does not expect changes to Covid financial supports in the short term and the announcement about the next phase of supports will be made next Tuesday.
Meanwhile, the Chief Executive of the Restaurants Association of Ireland has said that the association will legally challenge the Government's decision to reopen indoor dining in hotels on 2 June ahead of restaurants, gastro pubs and cafes.
In a post on Twitter, Adrian Cummins said that the Government's decision is built on "zero scientific or medical evidence.
"For that reason the Restaurants Association of Ireland will be challenging the Statutory Instrument next week."
Additional reporting: Paul Cunningham