But he said he was concerned that renegotiating the Withdrawal Agreement could lead to other European Union countries changing it "in a way that may not necessarily be to our advantage", adding: "By reopening it, there is a risk that we may not necessarily get everything that we wish for".
"As time is running out, we will also discuss our preparedness for a no-deal scenario", he said.
Mr Corbyn said: "The Government has lost control of events and is in complete disarray".
Speaker John Bercow announced the decision following a request by the Jeremy Corbyn.
In a message directed at Labour leader Jeremy Corbyn, Ms Sturgeon said: "If Labour, as official opposition, lodges a motion of no confidence in this incompetent Government tomorrow, the SNP will support and we can then work together to give people the chance to stop Brexit in another vote".
If the agreement does not change fundamentally, many members of Parliament not to support it and it will still lose, but only a week or a month later.
Alluding to the main point of concern about her deal she said the Northern Ireland backstop is causing "widespread and deep concern".
Tory MPs seem so fed up with Mrs May after her attempt to buy more time that it must be a question of when rather than if Sir Graham will receive the 48 letters required to trigger a confidence vote.
"I will oppose. We need to see this deal off once and for all".
"If the answer is yes, and I believe that is the answer of the majority of this House, then we all have to ask ourselves whether we are prepared to make a compromise".
Britain’s Prime Minister Theresa May speaks in the House of Commons in London Dec. 10 2018. PA via AP
"What on earth can she say at 3.30pm today to persuade MPs and the nation that she has a strategy for a better Brexit outcome?"
Mrs May admitted yesterday that she could not win the scheduled vote.
He said she still had the necessary authority to re-negotiate the deal.
Mr Bercow intervened following Mrs May's statement to criticise Number 10 for leaking their plans in advance of telling the House, saying the vote was being delayed at "an inordinately late stage".
The Prime Minister's deal is so bad she isn't even willing to put it to Parliament.
"When she brings the same deal back to the House of Commons without significant changes, others across the House will be faced with that reality".
Conservative Brexiteer Andrew Bridgen was heckled by some colleagues as he said Mrs May had "lost the trust and credibility" of the Commons, the country and the EU.
And the Prime Minister was accused by veteran Labour MP Dennis Skinner of being "frit" and "handing over power to the EU".
Meanwhile, Tory former prime minister David Cameron has said he has no regrets about calling the Brexit referendum - despite previously warning that leaving the European Union would be an "act of economic and political self-harm".
This provides encouragement to supporters of a so-called People's Vote, who are seeking a second referendum now that the costs and benefits of Brexit are better understood.
On Monday the European Court of Justice (ECJ) had ruled that the United Kingdom can decide to cancel Brexit and remain members of the European Union (EU).