Fine Gael has just edged ahead of Fianna Fáil in the latest opinion poll.
The Sunday Times/Behaviour & Attitudes October poll shows Leo Varadkar's party up three points to 29%.
Fianna Fáil has seen a slight drop - it's down one point to 28%.
Sinn Féin is on 16%, which is a drop of four points compared to the last poll.
The Green Party is up one point to 6%, while Labour has risen two points to 5%.
Solidarity / People Before Profit is on 3%, a two point jump, while the Independent Alliance down two points to 2%.
There's no change for Social Democrats on 1% and Independents on 9%.
The poll also shows Renua and Aontu both at 0%.
The poll - which has a margin of error of 3.3% - was carried out from October 3rd to 15th in a series of in-home interviews with a sample of 931 Irish voters.
Political editor of the Sunday Times, Stephen O'Brien, says some within Fine Gael may want an early election in November.
He observed: "The Taoiseach Leo Varadkar is clearly on the record as saying he would prefer to go to the country next May... but there are clearly senior figures in his party, and many backbenchers in his party, who think November might be their best opportunity.
"With the poll figures now slightly ahead of Fianna Fáil, and perhaps a winter of discontent over hospital queues and stubbornly high homelessness figures ahead of them... certainly there's a strong body of opinion in Fine Gael that wants to go the polls sooner rather than later."