The Shadow Brexit Secretary refused to make a clear commitment to a second EU referendum while on a visit to Merseyside.
Sir Keir Starmer MP was visiting the premises of Olympic Foods processing plant in Whiston today as part of Labour's European Election campaign.
During a tour of the factory with other Labour MEP candidates, Mr Starmer highlighted the dangers of a "no deal" Brexit to the economy.
But he was less clear on how to break the current impasse, which has seen the UK miss the original date for leaving the EU.
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Mr Starmer said a second referendum was for "parliament to decide," adding: "At the moment we've got a deal that the Prime Minister negotiated and has just sat there because it has not been approved by a majority in Parliament.
"Many many people want to break the impasse and move on.
"If a different deal was presented, we'd have to look at it, but if it's this deal - which we consider to be a bad deal - then the Labour party says that needs to go back to the public so they can sign it off one way or the other to say whether it's good enough."
Mr Starmer said he thought the electorate "understood" that Labour wanted "a close economic relationship" with the EU.
He added: "It's very important in this election that the UK is represented by Labour candidates and not by Farage and the Brexit Party, because that tells you something about what sort of country we are."