A defeat in Parliament, which is expected to vote next month, could lead to a no-deal exit or a new general election.
"The focus this week will be on the future relationship", she told Sky.
Sir Graham Brady, the chairman of the backbench 1922 committee, told BBC Radio Five Live that if he does receive the 48 letters required to force a confidence vote in the prime minister, he would not delay in announcing it - indicating there are not enough to do so.
You Do the Math: Can May Get Her Brexit Deal Through Parliament?
May could face a no-confidence vote if at least 15% of Conservative lawmakers - 48 MPs - submit letters saying she has lost their support.
In critical times like these, securing the best guests for my Sunday morning political show can be a last minute exercise, because politicians want to wait and see how events unfold.
Also speaking at the CBI conference, opposition Labour leader Jeremy Corbyn will describe the deal as "a botched, worst-of-all-worlds deal which is bad for Britain, leaving the country in an indefinite halfway house without a real say".
Going further, May suggested her Brexit deal will protect "millions of British jobs across the country", end sizeable annual payments to the EU budget, and make sure the European Court of Justice has no jurisdiction over the UK.
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Your goalkeeper can be the most important player in that regard and, today, Jordan Pickford was well up to the task. One of the main aims of Sarri's style is to draw the opposition line out and create space behind the defence.
At the end of a bruising week for the Prime Minister, she used an interview with the Daily Mail on Saturday to tell her critics their alternative plans for Brexit would not solve the main problem - the North Ireland/Ireland border backstop arrangement.
But both sides are scrambling to finalise a parallel political declaration that will set out a road-map for post-Brexit negotiations on future EU-UK ties. She said she would also be speaking to other European Union leaders ahead of an European Union summit to discuss the deal on November 25.
It comes after several ministers, including Brexit Secretary Dominic Raab, quit over her Brexit plan, throwing the Government into crisis.
If May's deal is voted down, then Britain faces the chaotic prospect of leaving the European Union without an agreement on March 29, 2019. Labour's deputy leader Tom Watson has also said a second referendum, dubbed the People's Vote, should not be ruled out.
The minister believed to have convened the gathering to discuss changes to the Brexit agreement - Andrea Leadsom - said this weekend that she felt there was still potential to improve on some measures within the deal.
She said the deal opens the path to the "frictionless trade" companies want.
If the Conservatives do not agree to the deal, it will be rather hard to pass it in the British Parliament. The frequently fought over issue about fishing rights has yet to be solved, mainly due to the UK's demands that it wants to regain full control over Britain's territorial fishing waters, which the United Kingdom had previously shared with fishermen from other parts of Europe, and to put an end to the Brussels' fishing quotas.
She said of her week: "It's been a pretty heavy couple of days", admitting to the Mail that when she went up to her Downing Street living area late on Wednesday the first thing her husband Philip did was to pour her a whisky.
Luxembourg's foreign minister says there is "no better" Brexit deal for Britain than the one that was finalized last week. He added: "We must make it understood today that this deal which is now on the table is the best one possible".