Prime Minister Tony Abbott has given his clearest signal yet that he may be preparing to dump his controversial plan for a fee to see a GP.

Mr Abbott also promised to appear regularly with NSW Premier Mike Baird during the state campaign in a move that could unnerve some Liberal MPs concerned that an "Abbott factor" could damage the popular Premier's election prospects.

Tony Abbott Credit:Alex Ellinghausen

Appearing at a press conference in Auckland following talks with his New Zealand counterpart John Key, Mr Abbott was asked about media reports that he would abandon the unpopular policy.

"I don't want to pre-empt our party decision-making processes, our government decision-making process, but it's no secret that we have been rethinking some policies that were brought down last year," Mr Abbott told reporters.