Illustration picture of postal ballot papers June 1, 2016 in London ahead of the June 23 BREXIT referendum when voters will decide whether Britain will remain in the European Union. REUTERS/Russell Boyce

LONDON (Reuters) - The campaign to stop Britain voting to leave the European Union in a June 23 referendum has seen its lead shrink over the past two weeks, an online poll published by market research company Opinium showed on Saturday.

The poll conducted between May 31 and June 3 showed 43 percent of people planned to vote to stay in the EU while 41 percent wanted to leave, Opinium said on its website.

This was a narrower lead than the 44-40 split in Opinium’s last poll for The Observer newspaper on May 21.

Other polls in the past week also showed gains for “Leave”, and sterling fell sharply on Tuesday when both an online and a telephone poll for ICM showed a 3 percentage point lead for the “Leave” campaign.

Opinium said there would have been a majority for “Leave” if it had not re-weighted its latest poll to reduce the impact of a disproportionate number of socially conservative voters in its sample, something which it had not done previously.

The Observer said that without the adjustments, support for “Leave” stood at 43 percent while 40 percent backed “Remain”, and focused on the unadjusted figures in its reporting of the poll it had commissioned.

“A fuller explanation of these changes and the effect they have will be posted on Monday,” Opinium said on its website.

The polling company also said that when it asked undecided voters which direction they leant, this time there was a 36 percent to 33 percent split in favour of “Remain”, while two weeks ago it was 47/32.