Taoiseach Micheal Martin says Covid-19 case numbers have come down 'significantly' from where they were two months ago, however there is concern that the situation has remained 'static'.
Martin said he would not speculate about changes to the public health restrictions for April and that the Government would inform the public in the next couple of weeks of any changes to the measures.
He has urged people avoid congregation indoors.
Martin says the lockdown strategy has generally worked and that numbers have been brought down.
On Sunday, 769 new cases of Covid-19 were reported by the Department of Health - the highest daily increase in cases reported since Friday, February 26.
According to Professor Philip Nolan of NPHET, when the total number of cases last week is compared to the previous week’s total, there was a 9% week-on-week increase.
The areas around restrictions possibly being eased and being examined are the 5km rule, expansion of construction, and outdoor gatherings.
Taoiseach Martin told RTE Radio One today: "We're not speculating beyond April 5.
"We are thinking and reflecting on the outdoor situation and outdoor activities and what might be possible there because mental health is very important.
"I'll have meetings with my colleagues.
"We'll talk to Ronan Glynn and the team in NPHET.
"I don't want to speculate beyond next week."
Martin says that everything will be examined and there's a number of factors.
The Irish Government are looking at the vaccination programme, the evidence is that is having an impact on the spread.
He added the the Covid-19 vaccine roll-out will "ramp up significantly" in the second quarter of 2021.
Their big concern is the variants.
The evidence is so far is that schools reopening has worked.
Martin doesn't envisage any changes to the timeline for the return of other students in Ireland.
What are the health experts saying?
Health officials have expressed concern about case numbers remaining at about 500 to 600 per day for the last few weeks, with the daily Covid figures no longer reducing at the rates they have in previous weeks.
CEO of the Health Service Executive Paul Reid on Sunday told Newstalk On The Record programme that hospital numbers have been “stuck” over recent weeks and the number of patients with Covid-19 is the same as the peak in the second wave.
“We’re at no way (near) normal levels in our hospitals,” said Mr Reid.
“In the last week when we saw the numbers stuck for the past few weeks, they had come down for the past five or six weeks very well.
“A slight increase again this weekend would give us concern around trends, particularly in line with some of the cases we’re seeing come through this weekend, a slight rise in cases would give us concern."
Ireland's deputy chief medical officer Dr Ronan Glynn has expressed regret at frustration in response to a suggestion that coronavirus restrictions could remain until June.
Dr Glynn said caution is needed in the ongoing coronavirus pandemic until a majority of the country is vaccinated by the end of June, pointing to surging case numbers in the other European countries.
However he also insisted there is hope and that the National Public Health Emergency Team (Nphet) is grateful for the general compliance with health advice.
Strict rules aimed at limiting social contact remain in place across Ireland, however a phased return to schools is under way.
There have been a series of anti-lockdown protests in Ireland in recent weeks.
A suggestion by Dr Glynn at a press conference last Thursday that some restrictions may potentially be required until June sparked frustration among some.
Responding on Friday, Dr Glynn said Nphet "could improve our messaging".
"We have sought over and over again over the past year to acknowledge the fatigue, the frustration, the exhaustion that people are feeling with these measures," Dr Glynn told a Nphet press conference on Friday.
"We know how difficult it is for people in this country, we do not make recommendations lightly."
Will there be a fourth wave?
Dr Glynn said that despite having made good progress over the past 10 weeks, Ireland remains in a "precarious position" in terms of the coronavirus pandemic.
"As a result of that I simply said that we need to be cautious over the next two months because none of us want a fourth wave, we all remember what happened as a result of Christmas and New Year, and none of us want to see that happen again," he said.
"I would ask people, all parts of society, to stick with the key messages over the coming weeks which is that there is hope - eight out of 10 people will receive the vaccine by the end of June. We can all look forward collectively to much brighter days.
"Things will get gradually easier over the coming short months if we can stop a fourth wave."
