The poll was taken even before tonight's spate of terrorist attacks in London. The Tories have about 15 minutes to pull a rabbit out of the hat.
Saturday, 3 June 2017 19:47 GMT
The poll showed said May's lead had fallen sharply from a lead of 12 percentage points in the previous Survation/Mail on Sunday poll published on May 21.
In the new poll, support for the Conservatives stood at 40 percent, down six percentage points and Labour were on 39 percent, up five points.
The online poll of 1,049 people was carried out on June 3.
(Reporting by William Schomberg; editing by Guy Faulconbridge)