Some political parties believe a court challenge could be in the offing.
The Tánaiste says he hopes there won't be a legal challenge to the new Dáil constituency boundaries.
A number of political parties believe a court challenge could be mounted given a number of constituencies are still over the constitutional limit requiring one TD for every 30,000 people in Ireland.
One of those would be the new Laois constituency, where the rate would be one Deputy per 30,626 people.
The Electoral Commission argued the only limit on them was the country as a whole needed to be under that bar - rather than individual electoral areas.
Tánaiste Micheál Martin says he hopes the matter won't end up in court: