The latest opinion poll shows a drop in support for both Fianna Fáil and Labour, and a boost in support for Sinn Féin.
The Red C poll, in today's Sunday Business Post, indicates a narrowing in the gap between the current Government and the alternative coalition of Fine Gael and Labour.
Since the last in the series of monthly tracking polls by Red C was taken at the end of February, there have been a number of political developments.
Fine Gael published part of its taxation proposals for the General Election, and both the Greens and Sinn Féin held party conferences.
Sinn Féin also enjoyed a successful election in Northern Ireland and has been central to negotiations to re-establish power-sharing institutions.
This month's poll was taken before this weekend's Fianna Fáil Ard Fhéis but the party will be disappointed to be down two points to 36% support.
Fine Gael are up one point to 23%, but their partners in Labour are down two to 12%.
The Greens are unchanged at 8% and the PDs lose one point, down to 3%.
The biggest winners are Sinn Féin, up three points to 10%, while Independents and others are up one to 8%.