As attention at the annual gathering of the rich and powerful in Davos, Switzerland, turned to the spectre of a so-called Brexit, Britain got warmer words from EU powerhouse Germany and the Netherlands.
"I very much hope that we can, with the good will that is clearly there, reach an agreement at the February European Council. I would like that," Cameron told an audience of billionaires and global leaders in the ski resort.
French Prime Minister Manuel Valls said earlier today that a British EU exit would be a "tragedy", but warned that Cameron's demands for reform could not be met at any price.
A British EU exit would be "a very bad thing," Valls told reporters in Davos.
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"There needs to be a deal, but not at any price," the French prime minister said.
Valls said Cameron was unlikely to win over fellow EU leaders by the time of their February 18-19 summit in Brussels, at which France will be represented by President Francois Hollande.
Negotiations on London's demands only started a short time ago, Valls pointed out, though he still hoped a solution could be found in February.
In contrast to France's downbeat assessment, Cameron received encouragement from Germany and the Netherlands.
Germany's veteran Finance Minister Wolfgang Schaeuble warned of the danger a Brexit would present to the EU.
Dutch Prime Minister Mark Rutte said the EU needed more of Britain's economic "culture" and said he was optimistic of a February deal.
Cameron insisted he was prepared to bide his time if he was not satisfied with the progress of negotiations.
"If there's a good deal on the table I will take it," he said in Davos, where he gave a presentation in a solo session.