The Department of Health has been notified of 374 new cases of Covid-19.
There are 99 people with the virus in hospital; 35 in ICU, which is unchanged from yesterday.
It comes as Health Service Executive CEO Paul Reid said Ireland's vaccination programme is "progressing really well".
He said "close to 2.7 million doses" would be administered by today.
"Certainly by tomorrow, 50% of the population will have received dose one and almost 20% are fully vaccinated with dose two."
The vaccination programme is now making great headway. Over 1M done in May, 2.7M in total. 50% of adult population had a dose 1 & close to 20% dose 2. Reduced illness, sickness, mortality & a massive take up. The team below in Carrick on Shannon, playing their part now. @HSELive pic.twitter.com/cPvdKTzQbS
— Paul Reid (@paulreiddublin) May 30, 2021
Speaking on RTÉ's This Week programme, he said that, because supply lines could be hard to predict, he could not give a definite answer as to how many people will be fully vaccinated when restrictions are eased further in July.
"But we are aiming to have 2.5 million people fully vaccinated by the end of July."
Mr Reid said 88% of cases last week were in the under-45 age bracket and "there were no outbreaks in nursing homes".
Almost 100% of the population over 80 have now been vaccinated, 96% of the 70 to 79 cohort and 90% in the 60 to 69 group "that is a huge take-up," Mr Reid said.
Any change to intervals between vaccine doses was down to advice from the National Immunisation Advisory Committee (NIAC), he added.
The gap between AstraZeneca doses has been brought back from 16 weeks to 12 weeks, as recommended by NIAC.
Asked about vaccines for children, Mr Reid said it would depend on how the Government approached that but the HSE's current Covid vaccine programme goes down as far as 16-year-olds.
For younger age groups, "ultimately NIAC will make an assessment".
Meanwhile, speaking to RTÉ News this afternoon, Mr Reid said there is a "high risk" of another wave of Covid-19 infections.
He said that while hospitalisation numbers were low at present, the situation had to be constantly monitored and that people needed to remain vigilant to the risk posed by the virus.
He said: "This can slip back. There's always a risk of complacency as society opens up further but one thing we know about this virus is, it has caught us at every stage and there’s a strong potential for it to catch us again so it is about keeping diligent, keeping our guard…. and then we can keep going forwards instead of backwards but I think ultimately the public are really well aware of what needs to be done now. "
Separately, Tánaiste Leo Varadkar said that about "25,000 people a week" are coming off the pandemic unemployment payment.
Asked about reports that some hospitality staff are telling employers they will not return to work as they are better off on PUP, Mr Varadkar said there was not a lot of evidence to back that up.
Speaking on RTÉ's This Week programme, he said that if a person refuses to take their job back, they lose their entitlement to PUP.
He said there was not an obligation on employers to inform Department of Social Welfare if a worker refuses to come back to work but "they can do it and there is a mechanism for that".
They will be contacting everyone on the PUP to confirm if they are not able to return to work and "there is an obligation on them to tell the truth," he added.
The Tánaiste said it was "too soon" to start reducing the amount people are paid. A lot of sectors are really only coming back around the middle of July.
"It will have to be phased out. It is not forever, but we want to phase it out at the right time when much more of the economy is open."
He said Cabinet will decide on Tuesday if any new entrants are allowed onto the PUP scheme.
Mr Varadkar was also asked about reports in newspapers that there may be delays of up to 10 hours in Dublin Airport when overseas travel resumes.
"The Department of Justice, Border Control, gardaí and airport companies will be working hard to prepare for that.
"Queues at airports are not unheard of - I don't think 10 hour queues will happen. I am not saying there will not be problems but everyone will work really hard to ensure delays are minimal," he said.
Asked about reopening the Common Travel Area, Mr Varadkar said people arriving into Ireland from Britain who are fully vaccinated do not need to quarantine and face no restrictions.
He said it is too soon to return to the CTA given the variant first identified in India. "But we will certainly make a call on that before 19 July."
In Northern Ireland, 63 new cases of the virus have been confirmed, bringing the total there to 122,638.
No new deaths were reported, giving a total of 2,153.