But there was little sign that the ultra-slim 51%-49% majority in favour of Remain reflected a change of heart since the 52%-48% referendum vote to Leave.
Just 3 per cent of Leave voters polled by BMG Research said they would now vote Remain, while 4% of those who backed EU membership on June 23 said they would switch in the other direction.
The Remain camp’s advantage came from voters who did not take part in the referendum, 46% of whom said they would now back EU membership, against 27% who would vote to Leave.
BMG found that the Conservatives were ranked the best party to handle Brexit negotiations with the remaining EU, with the backing of 36% of voters, against 10% for Labour, 9% for Ukip and 2% each for Liberal Democrats and Greens.
BMG polled 1,546 UK adults between October 19 and 24.