Lord Digby Jones has said he will only support Theresa May's Brexit deal if the backstop clause "is revoked".
The cross-bench peer claimed that the backstop, which would keep the UK tied to the customs union, was not what leave voters wanted.
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"Yes I am [supporting Brexit deal], with one exception, which is that I'm not going to vote for it in the Lords if we don't get that last little clause to move which says if we're still in the backstop as they call it, this thing that happens if we haven't sorted out Northern Ireland by the time the transition period ends, then the EU reserve the right to say when we can leave," he told Julia Hartley-Brewer.
"I know that everybody who voted Brexit might have had different reasons, but one thing's for sure, they all voted to leave. On that basis you're not letting them leave on their terms so I won't be supporting it if that clause isn't revoked."
Deal will 'fall over'
Lord Digby Jones. Image: Getty
Lord Jones, who is the former director general of the CBI, said that without any amendments, the Prime Minister's Brexit deal will "fall over".
""If there are no changes to the Bill, I think you'll get a lot of extensions. I think they'll put a lot of pressure on people who say 'I'm not going to vote for it' to say please don't vote against it.
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"There'll be a lot of extensions, and it might get through on the fact of more people voting for it then voting against it with loads of extensions. That could happen, but if not it will fall over."
He added: "We should not sign this deal with the clause on the backstop."