Health Minister Simon Harris has said the reproductive rate of COVID-19 has fallen further.
The R0 has fallen from between 0.5 to 0.8 to as low as 0.3 to 0.8.
Mr Harris told the Dáil that the overall rate is now considered 'stable', at around 0.5.
While modelling suggests admissions to hospitals and Intensive Care Units (ICUs) have also dropped.
These have both halved in the last week, Minister Harris said.
"Last week hospital admissions were around 40 a day - whereas this week, I'm told by the modelling that it's around 20 a day".
"And last week ICU admissions were around four to six a day, whereas the modelling now tells me it's around two a day this week".
It comes after Taoiseach Leo Varadkar earlier told the Dáil it is possible that the coronavirus arrived in Ireland late last year or early this year - earlier than first thought.
Mr Varadkar said: "It is noteworthy that initial experts suggest from retrospective testing, that the virus was circulating in France as far back as December last year.
"That is before the virus even had a name or a test for it.
"In some ways this is not surprising - France is well connected to China with dozens of flights every day.
"And Ireland is well connected to France.
"Indeed, it is possible that the virus was already in Ireland last year or in January this year.
"We should not assume that it came here from Italy in late-February just because that was the first confirmed case."