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Britain and the European Union have been racing to renegotiate the Withdrawal Agreement in time for an Oct. 31 Brexit, but the deal still needs approval from parliament.
"We've got a great new deal that takes back control," Johnson said in a tweet.
"Now parliament should get Brexit done on Saturday so we can move on to other priorities like the cost of living, the NHS, violent crime and our environment."
However, the DUP, who have expressed concerns that the Brexit deal could cut Northern Ireland off from Britain in customs and regulatory terms, said there had been no change in their position following the confirmation of the deal.
Earlier the DUP had said it could not support the last-ditch Brexit proposal due to concerns about the issues of customs and consent, adding there was a lack of clarity on VAT (sales tax) arrangements.