Communications Minister Malcolm Turnbull says Prime Minister Tony Abbott has the complete support of the Liberal Party and insists his meeting with Clive Palmer last week was simply an "accidental dinner".

And a furious Mr Turnbull has taken the government's supporters in the media to task for maliciously suggesting he could have designs on the party leadership.

Communications MInister Malcolm Turnbull, pictured with Immigration Minister Scott Morrison, in question time on Wednesday. Credit:Alex Ellinghausen

Mr Turnbull said he supported all of the budget, including the $7 co-payment for GP visits and higher education changes and revealed he had had dinner with Mr Abbott in Canberra on Sunday night following the furore.

Earlier this week, Mr Turnbull labelled conservative columnist Andrew Bolt "unhinged" and "demented" and rejected the columnist's suggestions he was agitating to replace the Prime Minister."Tony and I are very close, we talk a lot, we talk a lot on a range of issues," he told radio station 2GB.