Eurosceptics within the Prime Minister's party have stepped up calls for a referendum on EU membership.
Ahead of the Conservative party conference, Cameron tried to quell demands for a referendum debate in a BBC interview, in which he said Britain must remain in the EU.
"I don't want Britain to leave the European Union. What most people want in this country, I believe, is not actually to leave the European Union but to reform [it] and make sure the balance of powers between a country like Britain and Europe is better," Cameron said in the interview.
UK Independence Party leader Nigel Farage attacked Cameron for assuming what the British wanted.
"He says he believes most people do not want to leave the EU but to reform it. How can he possibly know that without asking the great British public," he asked.
It emerged on Sunday that MPs expect to hold a vote on a referendum to leave the EU in the coming months. The debate is expected to be triggered by the government's new 'e-petitions' scheme, which requires MPs to consider topics if 100,000 people demand it.
According to the Daily Mail, a one-day debate and vote on a referendum on EU membership would be held before Christmas, although it would not be binding on the government, Cameron would be under "huge pressure" if the vote is carried, the daily claimed.
A poll, produced by YouGov for the anti-EU Daily Express, found that more than two-thirds of Conservatives wanted Britain to pull out of the EU. Overall, according to the poll, 51% of the voters would say 'yes' to Britain leaving the EU for good.
'Repatriating' powers
Cameron is under pressure, including from his own camp, to use the eurozone crisis as a pretext to repatriate powers from the EU. His Foreign Secretary William Hague admitted that repatriating powers "may well be one of the dividing lines at the next election".
Tory delegates arriving at the conference centre on Sunday were reportedly greeted by the headline "Tory voters tell Hague - leave EU now" in a newspaper produced by activists from the ConservativeHome website, the article was accompanied by a picture of Foreign Secretary William Hague.
Cameron however made it clear that repatriating powers was not his immediate priority.
"The eurozone issue is the urgent priority […] There is a European treaty that's happening right now [on EFSF]. This is the treaty that gets us out of the bailout mechanism Labour got us into. Prospects for future treaty change is not an immediate prospect," he warned.
