The latest opinion poll has shown a significant rise in support for Sinn Féin.
Today's Behaviour and Attitudes poll for the Sunday Times shows the party us up six points.
The poll shows Fianna Fáil is the most popular party in the country on 29%.
It is down one percentage point, but remains three points ahead of Fine Gael - which is unchanged on 26%.
The Green Party is on 5%, while Labour's on 3% - both are down two points.
Sinn Féin is on 20%, up 6% on the last Behaviour and Attitudes poll taken in July.
The Independent Alliance is on 4%, while Solidarity-People Before Profit, Renua and the Social Democrats are all on 1%.
The poll was carried out between Thursday September 5th and Tuesday September 17th.