Almost two-thirds of voters think Culture Secretary Jeremy Hunt should resign, according to a poll published by ComRes for The Independent.
It comes as pressure mounts on the minister over his dealings with the Murdoch empire during News Corporation's bid to buy all of broadcaster BSkyB.
The ComRes poll results found:
- 63% feel that he should quit
- 12% thought he should remain in his post
- 24% said they did not know
- Even among Conservative supporters, 49% to 27% think Mr Hunt should resign
- On voting intentions, Labour is five points ahead on 39%
- Conservatives are unchanged on 34% and the Liberal Democrats down one on 10%
Earlier, Lord Justice Leveson turned down a request from Hunt to bring forward his evidence at the inquiry into media ethics "in the interests of fairness to all".
– LEVESON INQUIRY STATEMENT
Lord Justice Leveson is of the view that, in the interests of fairness to all, the Inquiry should continue with the existing scheduling of his appearance. Lord Justice Leveson has given a detailed explanation to the Secretary of State for his decision.
Mr Hunt had requested an earlier appearance so that he could answer allegations about his handling of News Corporation's BSkyB takeover bid.
A date has still not been set, but politicians will not be called until mid-May, meaning the Culture Secretary will have to wait at least a fortnight and possibly much longer.
According to a report in today's Telegraph, Leveson will also not rule on whether Hunt broke the Ministerial Code in his dealings with the Murdochs.
David Cameron is prepared to consider ordering an investigation into Hunt's dealings with News Corporation but not until he has appeared at the Leveson Inquiry.
Deputy chairman of the Conservative Party Michael Fallon said a probe was possible.
If later on, obviously, it looks as if there's something that needs to be investigated under the ministerial code that can be done.
Labour leader Ed Miliband said the Prime Minister should have fired Mr Hunt and at the very least should refer the matter urgently to independent adviser on ministerial interests, Sir Alex Allan.
– HARRIET HARMAN MP, DEPUTY LABOUR LEADER TALKING TO BBC NEWS
"Lord Justice Leveson has made now very clear that it's not a matter for him whether Jeremy Hunt broke the ministerial code.
"Therefore the Prime Minister can no longer hide behind Lord Justice Leveson.
"At the very least he's got to refer the matter to the independent adviser on ministerial interests.
"I think Jeremy Hunt should go, I think the Prime Minister should have fired him."