Fine Gael have moved just ahead of Fianna Fáil in the latest Sunday Times Behaviour and Attitudes opinion poll.
The survey, carried out over 12 days up to last Wednesday, suggests only one percentage point separates the two biggest parties in the Dáil.
Almost six weeks into the new Government - support for all sides in the Dáil appears static.
Fine Gael has edged back in front of Fianna Fáil with the party leading the minority Government on 26%.
That level of support is unchanged since the last comparable poll in May but Fianna Fáil has dropped two points - leaving it on 25%.
Sinn Féin is up one point on 17% with Labour unchanged on just 5%. The AAA-PBP group is also unchanged on 4%. Support for independents is up one point to 9%.
While there is a slight drop in support for some of the independents within Government - the Independent Alliance is on 6%, that is down one point.
There is a small dip in support for the Green Party too, it is down one point to 3%.
The poll suggests support for the Workers' Party is at 2%, the Social Democrats is at 1% and Renua is at 1%.