The National Public Health Emergency team is advising the public to keep their contacts down over the Christmas period.
It's warned that the 'R' number is currently close to 1.
There are concerns it will grow to 1.4 over the coming weeks.
Public health officials say it would result in between 300 to 600 cases being reported daily by the second week in January.
NPHET's Head of Modelling Professor Philip Nolan says the country is not where officials wanted it to be at this stage.
"The force of infection is three to four times greater than we would have liked. And that brings me to the fundamental point that given that background, we really do advise extreme caution in terms of limiting our number of contacts per week, and taking every precaution during those contacts in order to avert a significant surge over the Christmas and New Year period."
