Vardakar made the statements to Fine Gael's parliamentary party.
Every person who wants a Covid-19 vaccine could be offered one by the end of June, according to the Tanaiste.
Leo Varadkar told his party last night it's possible based on international evidence that 10 to 15 percent refuse the jab.
However he said the official target is still to offer 82 percent a first dose in that period.
As of Monday 10th May, 1,882,635 doses of #COVID19 -vaccine have been administered in Ireland:
— Department of Health (@roinnslainte) May 12, 2021
•1,376,583 people have received their first dose
•506,052 people have received their second dose
Chairperson of the Irish Medical Organisations GP Committee, Dr. Denis McCauley, believes reaching everyone who wants one by the end of June is possible:
Dr. McCauley adds that the number of people who refuse a vaccine could increase over the coming months:
However, speaking in the Dáil on Thursday afternoon, the Health Minister said offering a vaccine to everyone who wants one by the end of June is a "very ambitious target".
Tánaiste Leo Varadkar claimed it might be possible to do that given 10 to 15 per cent of people in other countries haven't wanted a vaccine.
He said he meant people could have an appointment by that stage - if not an actual injection.
Health Minister Stephen Donnelly has said the Tánaiste's comments haven't changed their plan: