The National Public Health Emergency Team has asked the HSE to look at the possibility of running mass vaccination centres on a 24-hour basis.
However, the Executive says the vaccine programme is reliant on supply, and also people presenting for their jab - but will extend the roll-out as needed to keep up with supply.
Latest figures show 1.6 million vaccines have been administered in Ireland, including 1.1 million first doses.
It comes as the five-day moving average of new Covid-19 cases has increased by 8 percent in the past week.
The figure was 437 last Tuesday but has increased to 470 this week.
There has also been a 9 percent rise in the 14-day incidence rate over the same period, from 122 cases per 100,000 people to 134.
383 new coronavirus cases were reported yesterday - the median age of those infected was 28.