Brexit Party leader Nigel Farage | Leon Neal/Getty Images Farage’s party set for massive gains in EU, general elections: polls Survey has Brexit Party getting more EU election votes than Tories and Labour combined.

Nigel Farage's Brexit Party is on course for major success in the European election later this month, and would alter the landscape of British politics if a general election were held in the U.K., according to new polling.

A poll by Opinium for the Observer puts the Brexit Party on 34 percent of the vote — more than the Conservative and Labour parties combined — in the Europeam election in late May. That's an increase of 6 percentage points for Farage's party since the last Opinium poll, on April 23.

Labour comes in second on 21 percent (down 7 percentage points since April), with the Tories on 11 percent of the vote, in fourth place behind the Liberal Democrats. The new pro-Remain party Change UK is on 3 percent support, behind the Greens, UKIP and the Scottish National Party. Opinium polled 2,004 people online between May 8-10.

Another poll, in the Telegraph, makes even bleaker reading for the Tories. It has the Conservatives led by Theresa May finishing third in terms of vote share if a U.K. general election were held now, behind Labour and the Brexit Party.

The poll has Labour winning 27 percent of the vote, with Farage's party on 20 percent and the Conservatives on 19 percent. However, Britain's first-past-the-post voting system would see the Tories get 179 seats in the House of Commons, far behind Labour on 316 but way ahead of the Brexit Party on 49.

The Telegraph poll, while worrying for the Conservatives, is hypothetical. The next U.K. general election is not scheduled until 2022 (although an early vote could be called at any time), and May has pledged that she won't be Tory leader during that ballot. The 2,034 adults surveyed on Thursday were asked to give their opinion based on May leading the Tories in the next general election.

The polling was carried out by ComRes and Brexit Express, a campaign group run by Jeremy Hosking, a Tory donor who has given a substantial sum to Farage's new party.