Yet if the Cabinet endorses May's proposed withdrawal terms, the next step would be a Brexit summit attended by leaders of the European Union's remaining 27 member states in Brussel later this month, with November 24 and 25 penciled in as possible dates.
Following approval by the European leaders, the treaty would go to the British Parliament, where it would face an uncertain fate.
The Daily Telegraph reported that there could be two Cabinet meetings tomorrow: "One to present the deal and another to approve or reject it."
Whatever happens, this deal is just the first stage of the lengthy process of ratifying the Britain's withdrawal from the EU. To follow are negotiations over Britain's future trade, security and economic relations with Europe - including side-deals about immigration levels.
For the past two years, the greatest debate over Brexit has not been waged between Brussels and London, but within May's fractious Conservative Party, composed of "leavers" and "remainers".
Hardline Brexiteers have pushed for a decisive split from European bureaucrats and courts, from EU rules and regulations, while others, led by May, have sought a softer Brexit, a bundle of compromise that keeps Britain more closely aligned with Europe, to better protect the British economy.
Arch Brexiteer Boris Johnson, who quit his job as Foreign Secretary over May's proposals in July, told the BBC that he hoped the Cabinet would "chuck it out".
"It's vassal state stuff. For the first time in a 1000 years, this place, this parliament will not have a say over the laws that govern this country," Johnson said.
Johnson and his allies have said May's Brexit would leave Britain "a rule taker" versus "a rule maker," subject to following Brussels laws for trade, without having much say in how they are written.
Jacob Rees-Mogg, a high profile Brexiteer, told the BBC: "White flags have gone up all over Whitehall. It is a betrayal of the Union."
The leaders of Northern Ireland's Democratic Unionist Party (DUP), which helps to prop up May's minority government, sounded sceptical about the deal.
Sammy Wilson, the DUP's Brexit spokesman, told the BBC that they will be reading the agreement closely to ensure that Northern Ireland isn't treated differently from the rest of the UK. "The rumours we are hearing so far would indicate that that's not going to be the case," he said.
Details of the draft withdrawal were not released to the public.
How to avoid the return to a hard border between Northern Ireland, which will remain in the United Kingdom, and the Republic of Ireland, which is a member of EU, has been one of the toughest issues facing the negotiators.
The Europeans have insisted that in the case that a future free-trade deal is not secured, Northern Ireland should remain in the European customs union. May has said that is not acceptable because it undercuts the sovereignty of the United Kingdom.
May has previously said that it would be either her withdrawal deal, or no deal at all, which many think would trigger severe economic disruption. But some of her critics said there were more options to explore.
The leader of the Scottish National Party, Nicola Sturgeon, tweeted: "If the PM's 'deal' satisfies no-one and can't command a majority, we mustn't fall for her spin that the UK crashing out of EU without a deal is then inevitable - instead we should take the opportunity to get better options back on the table."
Most MPs in the opposition Labour party are expected to vote against the plan if and when it reaches Parliament. Labour Leader Jeremy Corbyn said, "We will look at the details of what has been agreed when they are available. But from what we know of the shambolic handling of these negotiations, this is unlikely to be a good deal for the country."
