There has been a rise in support for Fine Gael, according to a Red C poll to be published in tomorrow's Sunday Business Post.
The poll also indicates that the Labour Party could be vulnerable to further erosion.
It was carried out between Monday and Wednesday of this week and shows considerable stability in party support.
Fine Gael gains two points to 34%, Labour drops one to 13%, Fianna Fáil gains one to 19%, while both Sinn Féin and Independents and others drop one point to 17%.
Asked about the state of the country under the coalition, 41% said it was heading in the right direction, while 50% say it is on the wrong track, and 9% did not know.
Red C also asked how strongly committed supporters of the two coalition parties are.
39% of Fine Gael voters are loyal, while 46% say they are becoming disillusioned, and 15% are losing faith.
By contrast, only 14% of Labour voters are loyal, 52% are becoming disillusioned, and 34% say they are losing faith in the party.