Sinn Féin leader Mary Lou McDonald has said she does not have confidence in the Government to deliver a pint of milk, let alone a vaccine programme.
Health Minister Stephen Donnelly has faced intense criticism in the Dáil over vaccination targets.
Minister Donnelly has said it is 'nonsense' to suggest that vaccination targets are constantly being missed.
Ms McDonald was asked if she has confidence in the minister to deliver the vaccination programme.
"I don't have confidence in this Government full stop.
"I wouldn't have confidence in many of them to deliver a pint of milk to my front door, quite frankly.
"But he is the Minister for Health and it is his job, it is his job now to deliver that programme."
Mary Lou McDonald asked if she has confidence in Stephen Donnelly to deliver the vaccine programme:
“I don’t have confidence in this government full stop. I wouldn’t have confidence in many of them to deliver a pint of milk to my front door” pic.twitter.com/zxtCRk4Khi
— Seán Defoe (@SeanDefoe) March 4, 2021
It comes as GPs say they are frustrated with the vaccine rollout, and a lack of communication from the Health Service Executive (HSE).
Dr Marie Scully earlier told Lunchtime Live: I am in communication with lots of my colleagues both nationally and locally, and it isn't the same for a lot of practices who are very upset with the level of communication the HSE and them, with cold chain deliveries, with people being promised one lot of vaccines [and] not getting them, getting more than they ordered, getting less then they ordered: having no contact at all".
Dr Scully said some practices have had no communication "despite constant ringing and e-mailing.
"It's really frustrating".
She said there is a dedicated HSE e-mail for GPs on vaccines "but when you e-mail you get no response at all".
And she said a subsequent dedicated vaccine phone line "either that doesn't answer, or you get somebody answering who says 'We'll take your details and ring you back' and they never ring you back."
Tánaiste Leo Varadkar has also admitted there have been issues with the vaccine rollout plan.
Speaking in the Dáil, he blamed an under-delivery from AstraZeneca for missing last week's target of 100,000 vaccinations.
Fine Gael and Fianna Fáil TDs also criticised the speed of the vaccine rollout at their respective parliamentary party meetings on Wednesday night.
Mr Varadkar said some of that criticism is justified.
"I appreciate that there have been some issues and have been some delays.
"A consignment of 25,000 AstraZeneca vaccines that we had expected to arrive last week did not arrive at short notice.
"We're told it will arrive before the end of the month, allowing us to catch up.
"So there will be weeks where we fall behind target, there will be weeks where we go ahead of target".
Additional reporting: Jack Quann