The Government's considering offering a fourth dose of the vaccine to all adults in the Autumn.
Some 885 people are in hospital with Covid 19, an increase of 59 since yesterday.
There are 32 patients with the disease in ICU.
The Taoiseach said he was “worried” about the coming winter, but a new vaccination programme for all would depend on the advice of the National Immunisation Advisory Council (Niac).
Mr Martin also expressed confidence that any new programme of jabs can be rolled out efficiently, despite the loss of so many senior health personnel from public health officials Dr Tony Holohan and Dr Ronan Glynn, to departing HSE boss Paul Reid.
Monaghan GP Illona Duffy has people shouldn't rely on just one antigen test to establish if they have the virus.
"We're not going to stop ourselves getting it, because this virus is mutating and changing," she said.