The survey of five European countries by TNS found 78 percent of Germans, more than two-thirds of Spaniards and almost six out of 10 French wanted Britain to stay in the EU.
That far outstripped the 38 per cent of Britons who backed staying in the union, only slightly more than the 34 per cent who want to leave, according to TNS. Some 28 per cent were still undecided.
The issue has split the British government, with Prime Minister David Cameron facing viscious opposition from senior figures in his own party such as Justice Secretary Michael Gove and London Mayor Boris Johnson.
Brits currently expect the 'In' camp to win it - 40 per cent expect Britain to stay in the EU, according to today's survey, compared to 26 per cent who expect voters to back leaving.
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Only in France did more people expect Britain to go than not, with 52 per cent predicting a Brexit and 48 per cent saying the referendum will back staying.
Asked about the consequences of of leaving, only a tenth of Brits said the EU's economy would improve while 38 per cent it would deteriorate and 21 per cent said nothing would change.
Their continental counterparts were less hopeful, however. Two-thirds of Germans, 43 per cent of Spaniards, 39 per cent of Poles and 33 per cent of French predicted a Brexit would hurt the EU's economy.