The Prime Minister has received private concessions from Brussels that would avoid a hard border between Northern Ireland and the Republic, in a move that is likely to win support from some Labour MPs as well as the less hardline within her own party, according to the Sunday Times.
Reports of a secret Brexit deal come just as more than 70 business leaders signed a letter calling for a second referendum after warning that a bad deal could threaten the United Kingdom jobs industry.
Ahead of Mrs May's cabinet meeting, sources here said the situation was at its "most sensitive yet" and she will be "dancing on the head of a pin" to secure agreement on the deal in her government.
Earlier on Monday, the Irish deputy prime minister, Simon Coveney, tweeted: "The Irish position remains consistent and v clear that a "time-limited backstop" or a backstop that could be ended by United Kingdom unilaterally would never be agreed to by IRE or EU".
"These ideas are not backstops at all and don't deliver the UK's obligations", the spokesman said.
You can read the Sunday Times' full story here.
Boris Johnson has used an article in The Sun to warn his former cabinet colleagues to "read the small print because we are about to be trapped".
According to Irish officials, this point was reaffirmed by Irish prime minister Leo Varadkar during a phone call with Theresa May earlier today.
The reports suggest that the Prime Minister has effectively abandoned her Chequers plan, and is now open to negotiating a different "landing zone" for the final deal.
"We continue to make good progress in the negotiations but there is work still to do", the prime minister's official spokesman said.
He told RTÉ's "The Week in Politics": "Unfortunately that's the position that we find ourselves in now".
He said there was a "rapidly ticking clock" but that minds were now being focused with a view to concluding a deal and he welcomed that.
Mr Brokenshire, appearing on television, was asked if a deal was close, replying: "Well, we want to get that deal, we're obviously working hard to see that that happens".
The United Kingdom voted to leave the European Union in a referendum in June 2016 and is expected to do so by late March 2019, while there are still certain stumbling blocks that impede talks, namely, the Irish border and the post-Brexit UK-EU economic relations.
"He recalled the prior commitments made that the backstop must apply "unless and until" alternative arrangements are agreed".
Yet all the signs are that the European Union are not prepared to accept anything that would either put a time-limit on the backstop, or allow the United Kingdom to end it unilaterally.