Fine Gael TD Bernard Durkan asked the Taoiseach if the Budgetary Oversight Committee could examine the fact that the lotto jackpot has been rolled over for the 47th time.
Taoiseach Micheál Martin said he had noted Mr Durkan's tenacity on need to ensure that someone wins the lotto.
Mr Martin suggested that the Regulator of the National Lottery could be asked to appear before the Finance Committee on the issue.
The twice weekly National Lottery draw has been rolling over since it was last won on 6 June.
Mr Durkan, a Kildare North TD, said players who have been "buying their Lotto tickets twice a week since June are rightly fed up".
"We haven't seen a winner of the top prize in almost six months. How long more will people continue to buy tickets if they don’t believe they have a fair chance of winning?" he said.
"The lotto is like Manchester United; cash being splashed about every week, but a long barren spell sustains with nothing to show for it.
"I am asking the regulator, out of respect to the public, to appear before the Oireachtas Committee and explain this situation so that players are provided with the assurance they need to continue playing our National Lotto."