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:

Kildare Ministers Martin Heydon And James Lawless Declare Rental Income In 2025
IFA Plan Large Protest This Saturday In Newbridge
Gardaí Say 'Current' Phase Of Searches Linked To Missing Deirdre Jacob And Jo Jo Dullard Have Ended
Former US Soldier, Michael Kelley, Charged In Connection With Death Of Kerry Man Michael Gaine
Father Punched In Head And Child Pushed To Ground During Newbridge Assault
Education Officials Insist Damning Celbridge Primary School Findings Require "Peer Review"
€20k–€30k Bill Raises Doubts Around Introducing A Video Archive Of Kildare Council Meetings
Gardaí Target Nigerian-Based Crime Gang In Series Of Raids, Including Kildare