However, Mr Varadkar warned against any complacency in the fight against the spread of the disease.
Mr Varadkar said in recent weeks that the number of cases could reach 15,000 by the end of March, but with 1,329 confirmed cases as of Tuesday night, this level is unlikely to be reached in the next week.
The 15,000 future cases figure was estimated without taking account of the effect of the restrictions and social distancing, though was used repeatedly by Mr Varadkar to warn about the possible extent of the crisis.
It was also announced on Wednesday that two further patients with coronavirus have died in Northern Ireland.
A total of seven people who had tested positive for coronavirus, also known as Covid-19, have now died in the North.
According to the latest figures from the Public Health Agency (PHA) 37 new cases of coronavirus have been identified, bringing the total number of confirmed cases to 209.
Speaking during briefing at Government Buildings in Dublin, Mr Varadkar cautioned that while this accounted for confirmed cases, “there are many, many more cases out there that are not confirmed”.
From The Irish Times.