Some frontline health and care staff are refusing to have the coronavirus vaccine and UK leaders are so worried that they are meeting to discuss the problem.
First Minister Mark Drakeford said he did not have specific figures for how many in Wales have declined vaccination offered but said he was meeting Whitehall ministers and other First Ministers next week to look at the issue.
He urged all staff working in health and social care to have the vaccine saying it would protect them and "more importantly" those they care for.
Asked how much of a problem health and care staff turning down the vaccine was at Friday's Welsh Government briefing the First Minister said: "I did discuss this with other First Ministers and the UK Government.
"We are going to try to come together next week with some figures from around the UK to see whether there are any patterns emerge of people who accept the offer and people who turn it down.
"Every year with the flu vaccine I am, myself, taken aback by the number of people who wok in direct health roles who who choose not to have the flu vaccine.
"My message to people who work on the frontline is to please take the help that is on offer through the vaccine . It will protect you and, more importantly in the jobs people do, it will protect others as well."
He agreed people don't have to have the vaccine and thanked frontline health and care workers who had taken up jabs so far.
"In the end this is a voluntary scheme and people who have all sorts of reasons as to why vaccination is not right for them have to be able to exercise that judgement.
"But in the seriousness of the position we are in, and everything that has been done so incredibly rapidly to provide vaccination for us all, I really do hope people in those frontline jobs, who have done such a fantastic job in the last 12 months, that as many of them as possible will take up the offer [of vaccination]."
Earlier this week it was reported up to a fifth of staff in some care home groups around the UK have refused the coronavirus vaccine when offered.
The PA news agency said people were refusing amid suggestions that younger workers are more likely to be resistant.
The majority of care home staff who have been offered the jab are getting vaccinated but data obtained by PA from a number of providers shows between 5% and 21% of staff offered a vaccine have declined it.
Boris Johnson has also called on everyone to get the jab when it is their turn and care providers say it is vital that staff and residents get the vaccine as soon as possible.
There is currently no regular data from the NHS or Government on how many residents and staff have been given the vaccine and how many have refused a jab.