Ceredigion Council has become the latest local authority in Wales to look at whether to give staff time off to celebrate St David's Day.
A holiday would allow more time for a stroll on Aberystwyth promenade
But some councillors are opposing the move and say the cost of its 4,000 employees marking 1 March with a public holiday would be too high.
Swansea Council has also looked at the idea, but a report by its officers put the cost at £1m.
Workers at Anglesey Council are already allowed to take St David's Day off.
In Scotland, workers can take a public holiday on St Andrew's Day for the first time on 30 November this year, after MSPs backed plans allowing people to swap an existing holiday.
But the UK government has rejected calls for a Wales-wide holiday, although the move has been backed by AMs.
Councillor Meurig James, who is proposing Ceredigion's 1 March holiday, said: "From what I gather there are national holidays in Scotland and Northern Ireland on their saints' days and I agree with it.
"If there was a case in England I'd be 100% in favour of one for St George's Day too.
"I think that council workers have the right to mark St David's Day with a day off, and I think it should be across Wales and not just in Ceredigion."
Mr James said Ceredigion Council was to prepare a report into the possibility of making St David's Day a public holiday.
But authority leader Keith Evans said savings had to be made, and allowing staff to take time off would cost too much.
"The financial pressure we are under at the moment means it would be difficult for us to give our staff St David's Day off at the moment," he added.