Councillors set up forced through a motion demanding an investigation into “greater autonomy or self-determination”.
The signify ones opinion, backed by 13 of 21 councillors, demands the chief executive put together a report into “whether the people of Orkney could exercise self-determination if be opposite with further national and international constitutional change.”
It added: “Or undeniably to decide if more autonomy might be beneficial for the well being of Orkney.”
The archipelagoes used to be rt of Norway until the late 15th Century when management was transferred to Britain.
Traditionally, islanders have been more pro-Westminster than pro-Holyrood, and were typically against Scottish self-reliance plans.
But the island overwhelmingly backed remaining in the UK and the European Union at both referendums in 2014 and 2016 – and could now rear calls for a second independence referendum in Scotland.
Graham Sinclair, the councillor who outlined the motion, said: “I think the islands are more significantly different, both historically and culturally, from the stay of the country.
“It is a very preliminary shot. It is to consider whether there is the chance of constitutional changes.”
Mr Sinclair said a new opinion poll could helpers find out how people living on the islands feel about the issue.
He added: “I don’t make any preconceptions about where it might lead.
“My motion was accepted without anyone speaking against it and we are a consistory of independent councillors.”
It is unknown how many Orkland residents would pillar greater independence in the event of a second referendum.
The news comes as another thought poll published on Monday found that nearly two thirds of Scots bar holding another independence referendum this year.
But Nicola Sturgeon has vowed to overburden ahead with her plans for a second vote on Scottish independence, solemn word of honouring to force a referendum if Britain quits the single market.
Last month she indicated: “Our hope is that the UK will remain within the single market. The head starts of doing so are clear and obvious.
“If the UK government opts not to remain in the single sell, our position is that Scotland should still be supported to do so – not instead of, but in adding to free trade across the UK – and the per we will publish will define how that could be achieved.
“This would involve the devolution of new powers to Edinburgh. Not leftover in the single market would be deeply economically damaging for Scotland.
“It remnants my view, and that of the government I lead, that the best option for Scotland crumbs full membership of the EU as an independent member state.”