The programme will also be opened to some 16-29 year olds.
The Department of Health has reported an additional 11,182 Covid cases today.
It also says about 83 percent of reported cases are the Omicron variant.
393 patients are in hospital with the virus, of which 89 are in ICU.
People in their 30s will be eligible for a booster vaccine from Wednesday.
The programme will also be opened to 16-29 year olds who received the single-shot Johnson and Johnson vaccine.
All remaining age groups will be eligible for a booster vaccine by January 10th.
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