Tuesday's €19 million (₦9.2 billion) Lotto jackpot is set to be the biggest in the 33-year history of the game.
There was no winner of Saturday’s €18.1 million (₦8.7 billion) top prize, the second highest ever.
The eye-watering sum now rolls over to the midweek draw which National Lottery chiefs said could set a new cap.
A spokesperson added: “The excitement levels have truly gone up a few notches as we get into record-breaking territory for the game.
“The jackpot is currently capped at €18.96 million (₦9.1 billion) and this represents the record-breaking Lotto jackpot win by the Dan Morrissey syndicate in Carlow in June 2008.
“Once the jackpot exceeds the cap, no more money will be added to the prize until it is won.
“The funds that would normally go to the jackpot will be distributed to the next lower prize tier at which there are winners.
“If the jackpot is won at an amount higher than €18.96 million, that will become the game’s new jackpot cap.”
The lucky numbers drawn for Saturday night’s draw were three, seven, 11, 28, 31, 43 and bonus number 46.
Despite there being no jackpot winner, a player in Kerry scooped the top prize of €250,000 in the Lotto Plus 2 draw.
The National Lottery spokesperson added: “We are urging all of our online players in Kerry to log in and check their tickets carefully today.”
Meanwhile, one winner in Rosslare, Co Wexford, scooped the €1million jackpot in Friday night’s Daily Millions game.