The Labour leader said: "We are not supporting or calling for a second referendum".
This follows a meeting of opposition parties earlier this month in which leaders agreed to do all they can to prevent a hard Brexit, which they see as Britain quitting the single market and customs union as it departs the EU.
Mr Sturgeon lashed out at the Labour leader on Twitter, arguing he was misleading people by arguing Brexit meant leaving the single market.
When it was put to Mr Corbyn that he was not saying he would never support another referendum, the Labour leader said: "We are not calling for one either".
He made clear his disapproval of EU state aid rules and noted that the United Kingdom has markedly different type of economy from small non-EU countries such as Norway, which access the single market via membership of the European Free Trade Association (EFTA).
"At the moment... We proceed in good faith". She suffered a major voter backlash previous year against her demand for a second independence referendum.
President, PM greet countrymen on Makar Sankranti, Pongal, Magh Bihu
To mark this auspicious day, people across the country thronged the bank of river Ganga to take holy dip and offer special puja. Another legend says that the Sun god forgave his son Shani for a transgression and Shani then visited him on Makar Sankranti .
Last week former Ukip boss Nigel Farage said he could back a second referendum to shut up Remoaners like Tony Blair.
A ComRes poll for the Daily Mirror suggested public opinion on Brexit has shifted and if a second vote was held 55% would vote to remain in the European Union and 45% to leave.
Shadow Brexit secretary Sir Keir Starmer yesterday tried to play down divisions in Labour on remaining in the single market after European Union withdrawal.
"With Labour, there would be a majority in the Commons for single market membership, but not without us".
Sir Keir said he wanted the same trade outcomes as backbench critics calling for the party to campaign to stay in the single market and customs union.
Deputy Tory Party Chairman James Cleverly said today: "Every step of the way Labour are trying to frustrate the Brexit process rather than make a success of it".
On Saturday, Labour MP Wes Streeting said the party was now the "single biggest barrier" to Britain remaining in the single market and claimed a rethink by Jeremy Corbn would be a "game-changing moment" in British politics.
Lib Dem, SNP, Plaid Cymru and Green Party leaders are tabling the amendment.
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