The Health Minister is raising concern that some people may be starting to break the lockdown rules.
The Covid-19 death toll in Ireland is now 610, after 39 more patients died yesterday.
493 more people have tested positive, bringing the Republic's total number of cases to more than 15,000.
Health Minister Simon Harris says the disease's growth is stalling in here, but he says fight could still be lost.
"The progress is fragile, we're at a very delicate moment and it would not take much for that to be reversed.
"And I'm just hearing stories, and that's all they are, but stories that people are beginning to sort of relax their interpretation of the phrase 'stay at home'.
"And I really really need to appeal to you not to do that, because I can't have a situation where all the amazing work you've done is undone."