Around three in five people believe the SNP should not seek another independence referendum if the country votes No in September's ballot, according to a poll.
A YouGov survey for pro-Union campaigners Better Together found that 59% of those quizzed believe the party should "consider the matter settled" if Scotland votes to remain part of the United Kingdom.
Almost a third, 31%, said the SNP should campaign for another independence referendum in the future following a No vote, while 10% said they did not know what their stance was.
YouGov questioned 1,148 Scottish adults for the survey conducted from April 8-11.
As part of the study, pollsters also sought views on what the SNP should concentrate their campaigning upon in the future, in the event of a No vote.
Sixty-three per cent of those questioned said the Nationalists should "mainly concentrate their campaigning on increasing devolution to Scotland, not full independence".
Around a quarter, 24%, said the SNP should concentrate on making the case for Scottish independence, not just devolution. Some 13% said they did not know.
Details of the poll's findings were released by Better Together on the second day of the SNP's conference in Aberdeen.
Speaking for the pro-UK group, Scottish Liberal Democrat leader Willie Rennie said: "This is a very positive poll for a strong Scottish Parliament with more powers, backed up by the security that comes from being part of something bigger. It confirms the clear message from other polls.
"The idea of a 'neverendum' doesn't appeal to Scots. People are clear that they don't want a referendum every few years. Instead, if there is a vote to remain in the UK in September, they want everyone to work together to deliver an even stronger Scottish Parliament.
"A powerful Scottish Parliament within the UK works for Scotland. As part of the UK we can have the best of both worlds - our strong Scottish Parliament, with the guarantee of more powers, backed up by the strength, security and stability of being part of the larger UK. We don't need to put that at risk but independence would bring it to an end."
An SNP spokesman said: "Given that the most recent poll shows Yes only needs another three points to reach 50%, the most interesting aspect of the No campaign's poll is that they didn't ask the referendum Yes/No question.
"We are entirely focused on achieving a Yes vote in September so that Scotland has the powers to build a fairer society and more prosperous economy - and Scotland will then come together in that exciting and common endeavour."
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