The pledge to give MPs another say over what happens next is likely aimed at postponing a rebellion by ministers who are committed to removing the possibility of the UK crashing out of the EU without a deal on March 29.
Speaking to Marr, Brokenshire said: “The government will commit that if the meaningful vote, in other words the deal coming back, has not happened by February 27 then we would allow a further motion – votable in Parliament – to take place.
“I think that gives that sense of timetable, clarity and purpose on what we are doing with the EU – taking that work forward and our determination to get a deal – but equally knowing that role that parliament very firmly has.”
Over on Sky News’ Sophy Ridge on Sunday, Liz Truss refused to rule out resigning from the cabinet if the prime minister shifted position to backing a customs union in order to get a deal through parliament. “I absolutely do not think that should be our policy,” she said.
A customs union is one of the demands made for any deal to get Labour support.
Shadow Health Secretary John Ashworth told Ridge Labour would vote in favor of a Brexit deal if the PM accepted its demands.