A new Sunday Times Behaviour and Attitudes poll suggests that support for Sinn Féin and Fine Gael has marginally increased, while Fianna Fáil has lost some ground.
The poll surveyed more than 900 voters over 12 days up to last Tuesday.
While the changes are all within a margin of error of 3.3%, the poll indicated that Sinn Féin is up 2 points to 32%; Fine Gael is up one point to 30% support; while Fianna Fáil is down one point to 19%.
The Greens are down one to 5%, while Labour remains unchanged at 3%.
The Social Democrats are unchanged at 1%, while Solidarity/People Before Profit also remain at 1%.
Support for Independents is put at 9% - which is also unchanged.