"In order to ensure that the backstop, if ever needed, would be temporary, the prime minister said that there would need to be a mechanism through which the backstop could be brought to an end", the spokesman added.
His comments came after Ireland's deputy premier Simon Coveney said he believes a Brexit deal could be reached by the end of November, with his Westminster counterpart, Cabinet Office Minister David Lidington, saying negotiators were "very close", after the pair held talks in Dublin.
Theresa May is expected to brief her cabinet today on proposals to avoid a hard border in Ireland through a UK-wide customs arrangement that would eliminate most checks on goods. To ease Conservative fears that the United Kingdom could effectively stay in the EU customs union indefinitely, preventing trade deals with other countries, Downing Street is pushing for a review mechanism that would allow the United Kingdom to exit the arrangement.
Writing in the Sun, Mr Johnson said such a format would be "a Christmas present of the finest old Brussels fudge" meaning Britain getting "absolutely nothing in return" for an "absolutely amazing" £39 billion divorce payment.
Waterstones chief executive James Daunt, ex-Sainsbury's chief executive Justin King, Lastminute.com founder Baroness Lane-Fox and Innocent Drinks co-founder Richard Reed were among signatories of a letter calling for a People's Vote on leaving the European Union. Both are contingent on the sides finding common ground over how to avoid a hard border in Ireland.
Mr Baker said: "If we are going to regulate our own economy, if we are going to have our own independent trade policy, if we are going to be a normal independent country - which is what I understood the referendum result to have decided - then we need to be out of the customs union and we need to get out of the customs union in a timely way".
"My guess is that the customs union style deal that Theresa May is lining up. she'll get it through parliament", he said. Under this plan we surrender control to Brussels.
"We continue to make good progress in the negotiations but there is work still to do", the prime minister's official spokesman said.
"He recalled the prior commitments made that the backstop must apply "unless and until" alternative arrangements are agreed".
'So, we think there's a deal to be had if they recognise that the deal is unacceptable to Parliament, I think that opens up a vista of the opportunity of the real negotiations'.
"While we too hope the Northern Ireland backstop will never be required to be used, it will be required to be written down in legal text".
The two sides now have only days left to bridge the remaining gap in order for an European Union summit to be called this month that could sign off a divorce agreement.
"We hope a deal can be done but we're not there yet".
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