He said: "Once again the very top of Labour, this time Jeremy Corbyn and Emily Thornberry, have failed to rule out a second referendum".
Mr Corbyn however appeared to finally settle on whether his party would call on the British Government to stay in the single market, saying Britain can not remain a member of the single market because of its decision to leave the European Union.
"What we have called for is a meaningful vote in parliament and that is the one area I think parliament has asserted itself in the vote before Christmas", he said.
Labour MP Chuka Umunna told Sky News shortly after Corbyn's comment: "In terms of the notion you have to be in the European Union to be part of the single market, that is not correct".
However, the other opposition parties hope the amendment will attract support from enough Labour MPs to put the government at risk of a significant defeat.
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).
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"You have to make a special relationship with the European Union".
"But at the moment, and as things now stand, we proceed in good faith, we do as we are instructed".
One challenged him and said "let us leave".
Talks of a second Brexit referendum were reignited when pro-Brexit politician Nigel Farage suggested a new vote could "silence" Remainers. Following that, we want a final deal that retains the benefits of the customs union and the single market.
The comments came after Labour MP Wes Streeting said the party was now the "single biggest barrier" to Britain remaining in the single market.
Scottish First Minister Nicola Sturgeon insisted that staying in the Market and Customs Union would be the "least damaging" option post-Brexit - and called on the Labour leader to get behind it.
If the Labour party announced tomorrow that we would keep Britain in the single market and customs union, it would be a game-changing moment in British politics.
Lib Dem, SNP, Plaid Cymru and Green Party leaders are tabling the amendment.