NICOLA Sturgeon has said her party’s MPs would back a so-called people’s vote, if it came to Parliament.

Her comments were made as Theresa May hopes to reach a deal this month or next on the exit terms and post-Brexit relationship with the European Union.

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Calls have been made for a new referendum before March – when the UK is due to leave the bloc – and the SNP leader has said her MPs would back such a move if negotiations end without a satisfactory agreement.

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Speaking on the BBC’s The Andrew Marr Show, Sturgeon said: “No doubt calls for a second referendum would grow in those circumstances, and I’ve said before we wouldn’t stand in the way of a second referendum. I think SNP MPs would undoubtedly vote for that proposition.”

The UK is due to leave the EU on March 29 2019, but issues such as the Irish border and future trading relationship have stalled talks. An agreement was hoped to be reached at the EU summit on October 17, but officials say it could November or even December.

Meanwhile, Ian Blackford, the SNP’s Westminster leader, said Scotland has to have the right to vote on independence for a second time should there be a similar renewed vote on Brexit. Blackford said the country should not be forced into accepting the result of any second Brexit referendum should Scotland again vote to remain but the majority of the UK vote to leave.

Nearly 52% of those voting in the UK backed leaving the EU in the 2016 referendum, but 62% of Scots voted to stay with all 32 voting areas returning a majority for remain.

Speaking on Sky’s Ridge on Sunday, Blackford said: “If there’s a People’s Vote, we need to make sure that our position is protected. We must have the right – if we are being dragged out of Europe, if we are being dragged out of the single market and customs union – that we have that ability to determine our own future.” He added if Northern Ireland were to get a “bespoke Brexit deal”, there was no reason the same could not happen for Scotland. This would be a scenario where the country was able to stay in the single market or have better access to the customs union.

Labour’s Ian Murray said: “Nicola Sturgeon has previously been reluctant to back a people’s vote, so her U-turn is welcome. Given we know there are Tory MPs who will vote for [it] and with Labour backing the option...at its conference, we are now heading towards a parliamentary majority for it. Unfortunately, however, the SNP is still putting its obsession with independence ahead of the best interests of the country. The... new opinion polls show a majority of Scots support remaining in the UK, but the Union is being stretched to breaking point by Brexit. “