The survey's findings will heighten fears in Downing Street that the Tories are on course for a damaging defeat.
Mrs May has been holding cross-party talks with Labour and Jeremy Corbyn to try and find a way out of the impasse.
In those circumstances, the poll says support for Labour would increase slightly to 23%, while support for the Brexit Party would drop to 26%. "These elections have proven to be rich hunting grounds for Nigel Farage's brand of extreme right wing politics before and may be again," she said."But the message of this poll is loud and clear: it suggests that if anyone can stop Farage winning it is Labour - and only if we back a people's vote."
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