The bombshell survey was released just hours after a separate poll by Opinium revealed a one per cent lead for the Leave campaign.
In the analysts’ final survey before polling stations open at 7am tomorrow, 45 per cent said they would vote to Leave the EU with 44 per cent wanting to Remain in the 28-country bloc.
Nine per cent of those asked said they still did not know how to vote, suggesting as yet undecided Britons will be key to Friday morning’s result.
Two per cent did not want to declare which way they will vote.
The pollsters said the narrow margin between Leave and Remain means the EU referendum is a “statistical dead heat” with both side within the margin of error of the other.
More than 3,000 British adults were quizzed online between Monday and today.
Both sides of the EU referendum debate have been out campaigning today in a last-ditch effort to persuade voters before they enter polling booths tomorrow.