This compares to a 6.1 percent (9.0 billion) fall if a free trade accord is signed with the bloc, and 2.7 percent (4.0 billion) drop if the United Kingdom joins the European Economic Area and therefore stays part of the single market.
The single market also includes the free movement of goods, services, capital and people.
She said: "It's time for her to stop listening to the discredited voices around her Cabinet table and start listening to the overwhelming case for Single Market membership".
The former Ukip leader told the Observer that he was becoming increasingly anxious that the Leave camp had stopped fighting their corner, leaving a well-funded and organised Remain operation free to influence the political and public debate without challenge.
Sturgeon argued that British Prime Minister Theresa May "wants to leave not only the political structures of the EU but come out of the European Economic Area shows just how extreme the United Kingdom government's position is".
The Scottish Government will today publish economic analysis of the most likely Brexit scenarios showing that a soft Brexit inside the single market would be the least damaging option for Scotland. Entitled "Scotland's Place in Europe: People, Jobs and Investment", the report is a sector by sector assessment looking at the potential impact on investment and employment.
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She said that was still an option and her Brexit minister, Mike Russell, pointed at the putative deal for Northern Ireland being negotiated where it would have close harmonisation with European Union rules to protect cross-border trade with Ireland.
The Scottish Conservatives have urged Ms Sturgeon to back UK-wide rules on trade and immigration rather than seeking any separate deal for Scotland.
Murray emphasised that the coalition was not against trade but believed that any deals must not be allowed to threaten government's ability to make policy to protect the environment, food safety standards, and workers' rights.
A spokesman said: "We are seeking a deal that works for the whole of the United Kingdom, that delivers on the result of the European Union referendum".
"Evidently, Brexit continues to cause real uncertainty across our society, and SCVO has made clear from the outset that we think leaving the European Union will be bad for Scotland and Scotland's charity sector - exacerbating already hard circumstances for charity organisations and the individuals and communities they seek to empower", said acting chief executive Lucy McTernan.
Mr Corbyn rejected a fresh appeal from the First Minister for his party to support an SNP-backed amendment on the single market when the EU (Withdrawal) Bill is debated this week.
The move follows a Brexit summit by the leaders of the four parties which Labour refused to attend.