A POLL conducted for News Limited has found the fightback of Julia Gillard is stalling after a toxic parliamentary year ended with political attacks.

Just one in five voters believes she has been completely open and honest - but a majority say it will not change their vote at the next election, the Herald Sun reports.

Of 1015 people surveyed across Australia on Thursday and Friday nights, 31 per cent said she had lied and 31 per cent said she was economical with the truth.

Regardless, 56 per cent of voters said it would not influence their vote. According to the Galaxy Poll, 26 per cent said they were less likely to vote Labour and 9 per cent were more likely to vote Labor, suggesting a net loss for Labor in voter intention.

Tony Abbott would be elected prime minister if an election were held now with the Coalition ahead 54 per cent to 46 per cent on a two-party preferred basis.

Assuming a uniform national swing, that would deliver the Coalition up to 20 seats if an election was held now including Treasurer Wayne Swan's Queensland electorate and dump and end the political careers of other cabinet ministers including Craig Emerson, Gary Gray and Peter Garrett.

Voters offered strong support - 60 per cent of those surveyed - for the Prime Minister making a full account of her involvement in the affair through a statement to Parliament. Ms Gillard has consistently denied any wrongdoing in lengthy press conferences but a statement to the House would expose her to censure if she was found to have misled Parliament.

Over half of voters - 56 per cent - said the AWU affair would not influence their vote but 26 per cent said it would make them less likely to vote Labor. This sample included Coalition voters.

"Unless Julia Gillard is able to quash these allegations there is a real prospect this issue will effect support for the Labor Party,'' Galaxy's David Briggs said.

"Voters are divided on Julia Gillard's response to the allegations. Only one in five voters believe she has been open and honest while 31 per cent believe that she she has been economical with the truth and 31 per cent believe she has lied.''

Liberal voters make up the lion's share of voters who are convinced the Prime Minister is lying with 50 per cent of Coalition voters surveyed accusing Ms Gillard of not telling the whole truth.

Voters split down party lines with 47 per cent of Labor voters and 8 per cent of Liberal voters backing the Prime Minister as being completely honest over the AWU affair.

Among Coalition voters 81 per cent believe the Prime Minister should explain herself over the AWU affair with a statement to Parliament. That compared to 36 per cent of Labor voters.

But among Labor voters 51 per cent of believe the allegations do not warrant another airing.

Primary vote support for the ALP was just 34 per cent a drop of 1 per cent since the last Galaxy survey on November 2-4 but within the poll's margin of error.

Support for the Coalition increased from 47 to 48 per cent and support for the Greens was unchanged at 11 per cent. Nearly 10 per cent of those surveyed were uncommitted.

Read more at the Herald Sun.