An extra penny on the basic rate of income tax would raise around £4.5 billion, and 70 per cent of those questioned for ITV1″s The Agenda said they would be happy to see a tax-hike on this scale if it was guaranteed that all the money would go to the NHS.
The results also found that almost half of Britons thought the current NHS was performing badly, with only 23 per cent saying that it was performing well.
However, there was less appetite to raise extra funds for the health service by charging for specific treatments.
Just 27 per cent of those questioned said they would be willing to pay £5 to see their GP, against 66 per cent who said they would not.
And if the cost was hiked to £10, only 15 per cent would be happy to pay, while 79 per cent said they would not.
Some 77 per cent of the 1,002 quizzed by pollsters Survation said they would not be ready to pay part of the cost of being treated in hospital as an out-patient, compared to 23 per cent who said they would be willing to pay.