The Turnbull government is pleased to see voters supporting its decision to increase the Medicare levy to pay for the national disability insurance scheme.
Two polls out on Monday show voters back the need to raise the levy to 2.5 per cent from 2019, as well as a new tax on the nation's big five banks.
But the coalition still trails Labor in both the Newspoll and the Fairfax-Ipsos poll 47-53 per cent.
The Ipsos result is an improvement for the coalition, but the gap has widened in Newspoll.
Overall, 45 per cent of those surveyed in the Newspoll, published in The Australian, think they will be worse off as a result of last week's budget.
Health Minister Greg Hunt noted the mixed result, but highlighted voter support for a key measure.
"Most significantly there is very strong support for the NDIS, Medicare levy," he told ABC radio.
"Australians understand that that's fair."
Mr Hunt said it was an insurance measure for every Australian, who could find themselves affected by a disability.
Key Senate crossbencher Jacqui Lambie believes Prime Minister Malcolm Turnbull's position is safe following the results.
Mr Turnbull has extended his lead over Opposition Leader Bill Shorten as preferred prime minister 44-31 per cent in Newspoll.
"I think that Bill is really going to have to turn this around," she told the Seven Network about his popularity.
Senator Derryn Hinch welcomed support for the Medicare levy increase.
"It is no surprise that about 70 per cent of people think kicking the banks for $6 billion isn't a bad thing to do," he said.
Both polls have support for that measure at 68 per cent.