It is when only Fine Gael voters are considered that Mr Coveney’s lead stretches to five points, 49 per cent to 44 per cent.

Many TDs say privately that they will vote for whoever gives them the best chance of retaining their seat, but given that the councillors and members have a say in picking the next leader too, the views of Fine Gael voters will have a major influence.

Mr Coveney is stronger among older voters, more rural voters, farmers, men and voters in Munster and Connacht-Ulster.

Mr Varadkar’s strength is in Dublin, the rest of Leinster, urban voters, younger voters, women and the wealthiest AB group, where half of all voters back him.

New politics

Asked for their views on the new politics in place since the formation of the minority Government last year, 30 per cent of voters said it represented “change for the better”.

Almost the same amount (27 per cent) said that it was a “change for the worse”, while the greatest number – 35 per cent – said that it made no difference.

Eight per cent said they didn’t know.

The exact question voters were asked was as follows: “With the Government requiring the support of Fianna Fáil, it is no longer possible to force legislation through the Dáil. Instead there has to be debate and agreement. But it also means fewer Bills are passed because there has to be debate and agreement. Is this new kind of politics a change for the better or the worse, or does it not make any difference in your opinion?”

The general shrug of voters on the question of new politics is replicated more or less equally across the various regions and demographics. Among the supporters of the different parties, Fine Gael supporters are more likely to believe that it represents a change for the better, with 37 per cent of them agreeing.

Supporters of Fianna Fáil conform almost exactly to the national averages. Even Sinn Féin and Independent voters do not deviate much from the positions held by the public at large.

Standout

However, the appetite for further change in Irish politics among voters remains intense. Just 5 per cent of respondents were of the view that “no more change is needed, works okay as it is”.

Over a fifth of voters (21 per cent) believe that Irish politics needs to change “a little more”. But two-thirds of voters (66 per cent) say that politics needs to change “a lot more”.

The desire for change is stronger among older voters than it is among the youngest age cohort and is only slightly less strong among the wealthiest voters than it is among the lowest income groups.

It is weakest in Dublin (63 per cent) and strongest in the rest of Leinster (71 per cent).

Among supporters of the different parties, Fine Gael voters (55 per cent) are least likely to believe a lot more change is needed, while three-quarters of Independents/other voters (75 per cent) and a similar proportion of Sinn Féin voters agree.

The survey was conducted on Monday and Tuesday of this week among a representative sample of 1,200 voters aged 18 and over in face-to-face interviews at 100 sampling points in all constituencies. The margin of error is plus or minus 2.8 per cent.