The St Vincent de Paul says it would like to see more targeted measures introduced to help those living in poverty.
It comes as the government considers introducing a new income tax band, that would relieve financial pressure on middle-income workers.
It could see a 30% tax in place for those earning more than €36,800 euro - down from the 40% rate currently in place.
But SVP's Head of Social Justice and Policy Tricia Keilithy says more should be done for those on lower salaries.
"One of the best things that they can do is to expand the eligibility of the fuel allowance to more households.
"We'd like to see it extended to people in receipt of the working family payment - they are families who are in low paid work, but at the moment can't access the fuel allowance."