The HSE said it is "ethically obliged" to provide them with a second dose.
The Health Service Executive has said that those who received the first dose of Covid-19 vaccine out of the agreed Government sequence will be given a second dose.
Controversy has surrounded Ireland's Covid-19 rollout in recent weeks as it was learned that some people in Ireland had received their vaccines out of sequence.
The Beacon Hospital
issued an apology and launched an independent investigation after it was revealed it gave vaccines to teachers at a private school, with the Irish Daily Mail reporting the children of the CEO of Beacon Hospital attend the fee-paying school.
It was also revealed that a loophole in the IT system for registering for vaccines meant that some non-patient facing HSE staff received vaccines out of sequence.
The HSE has said those who received their vaccines out of sequence will be given their second dose of vaccine.
It said it is "ethically obliged" to complete the vaccination and that this is in line with the manufacturers' instructions.
The HSE said it aims to substantially complete vaccination of the over 70s cohort this week.
Over 1.2 million vaccines have been administered in Ireland and 26 vaccination centres are planned to be operational by the end of this week.
