The Taoiseach has said changes to the vaccination roll-out will mean people at most risk will get the injections first.
Once over-70s, those with underlying conditions and the medically vulnerable are vaccinated - appointments will be made on the basis of age alone.
There's been criticism of the move from groups like gardaí, teachers and family carers who believe they should be given priority.
The Garda Representative Association is seeking a meeting with the National Immunisation Advisory Committee over the new system.
President Frank Thornton says gardai should be prioritised due to their role in policing the pandemic.
One of the country's biggest teaching unions says it's unacceptable that government is considering making changes to the vaccination programme.
ASTI General Secretary Kieran Christie says this would renege on previous promises.
But Taoiseach Micheál Martin says the National Immunisation Advisory Committee believes this is the best way forward.