FILE PHOTO: Anti-Brexit demonstrators wave flags outside the Houses of Parliament, in London, Britain, September 10, 2018. REUTERS/Hannah McKay

LONDON (Reuters) - Britain could end up holding a second referendum on its membership of the European Union if Prime Minister Theresa May’s plan for Brexit is rejected, a government minister told Sky News on Wednesday.

“Those to the right of the party - the pro-Brexit wing - will be very concerned that if that deal doesn’t prevail, they’ll end up in the situation where we could have a second referendum and we could end up not leaving the EU altogether. There is a danger of that happening,” said Mel Stride, a minister in Britain’s finance ministry.