DUP leader Arlene Foster has used a visit to Brussels to set out her own red lines that the prime minister must resect if she wants support for new United Kingdom government proposals on the Irish border "backstop".
The backbenchers are mulling the decision to rebel against their own party should the Prime Minister clinch a deal with Brussels, rather than see the country suffer the economic impact of withdrawing without an agreement.
"We would need to be unafraid to go forward without an agreement", Mr Baker said.
With just six months before Britain leaves the European Union in its biggest shift in trade and foreign policy in more than 40 years, both sides say they are intensifying talks to try to avoid a "no deal" Brexit that could harm the world's fifth largest economy.
It also came shortly after Foster met European Union chief Brexit negotiator Michel Barnier, who said he is "working hard to explain and de-dramatise the backstop".
The Budget takes place on 29 October.
One of the key things they have not yet agreed is how to prevent there being new border checks between Northern Ireland and the Republic of Ireland, which is a member of the EU.
The Democratic Unionist Party's 10 Westminster MPs are planning to vote down the Budget later this month if they are unhappy about the government's Brexit plans, the BBC understands.
Officials warn residents to keep an eye on Tropical Storm Michael
The storm was moving north at 12 miles per hour and strengthening with maximum sustained winds of 90 miles per hour . The storm more than likely will become a Hurricane before it makes landfall along the coastal panhandle of Florida.
"My estimate is that there are at least 40 colleagues who are not going to accept a "half in, half out" Chequers deal or indeed a backstop that leaves us in the internal market and the customs union".
She said there was evidence that Brexit was "dislodging long-held red lines about the union".
The DUP has a confidence and supply deal with the Conservative minority in order to help it see through votes in the Commons.
He said that if a deal of this kind is struck, it will be "very obvious" to voters at the next general election that the government had broken promises from the 2017 Conservative manifesto and the prime minister's Lancaster House speech setting out her Brexit "red lines".
Mrs May will continue to dismiss the EU's proposals on the Irish border question, refusing to publish a backstop plan until Brussels negotiates a more favourable deal, her senior aides have said.
She added: "We are continuing to work for a good deal but there is a lot of work to be done and I will drive to deliver for the British people".
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