Fianna Fáil TD for Clare Cathal Crowe has called for a cap on Ukrainian refugees coming into the county, contrary to official Government policy and EU law.
He said he was "hugely proud" of the role Clare people have played up to this point, in which around 3% of the county's population is now Ukrainian.
However, Mr Crowe told Clare FM this morning that he felt capacity had not just been reached, but exceeded.
"There is no shame whatsoever in us as a county, and us as a country, in saying 'we have done everything we can'," he said.
"And we want to do more but right now capacity in terms of healthcare, transport, accommodation has not just been reached but exceeded," he added.
Asked if he was backing a cap on new arrivals, the Clare TD replied: "Yes, I would think so, and I've said this to colleagues in Government as well."
Mr Crowe described this as a "sensible position" given some Ukrainians were sleeping in tents, or on airport floors, and this could not be construed as providing quality of care.
"Right now we can't meet their needs," he added.
That position is at odds with Government policy, with Taoiseach Micheál Martin, Tánaiste Leo Varadkar, Minister for Children Roderic O'Gorman and Minister for Housing Darragh O'Brien all ruling-out introducing any cap.
Ireland is also legally bound to accept Ukrainian refugees under the EU's Temporary Protection Directive which was activated by EU leaders at a meeting in March.
Meanwhile, the Taoiseach has accused three left-wing TDs of being "puppets" for Vladimir Putin, adding that it is a "disgrace".
"You guys are acting like puppets for Putin's Regime", Mr Martin told the People Before Profit-Solidarity TDs Paul Murphy, Richard Boyd Barrett and Mick Barry.
He said that whenever the war in Ukraine is raised, the three TDs "bring it back to NATO" and that "it's the same argument used by Russia last week, when it named a lot of Irish politicians on their list" of those banned from the country.