But he opened the door to the vote taking place before the end of the week as he said: "It is going to be soon, don't worry about that".
"My own view is I'd rather get a negotiated deal now if we can to stop the danger of a no deal exit from the European Union on the 29th March, which would be catastrophic for industry, catastrophic for trade and the long-term effects of that would be huge", Corbyn told the BBC's Andrew Marr Show on Sunday.
Mrs May, who postponed a vote in parliament on her deal in December after admitting she was set to lose it, said MPs must not let down the people who backed Brexit in a June 2016 referendum.
The prime minister has said rejecting it will throw Britain into "uncharted territory" and put the country at risk of crashing out without an agreement, or even no Brexit at all. And then, in the 2017 General Election, 80 per cent of you voted for MPs who stood on manifestos to respect that referendum result. You have delivered your instructions.
"If MPs who represent seats that voted 70 per cent to leave say "sorry guys, we're still going to have freedom of movement", they will turn against the political mainstream".
Although Corbyn recently described no-deal preparations as "Project Fear" and the leader's office is understood to believe that the Prime Minister would not countenance no deal, he argued today that a negotiated deal must be approved to avoid leaving the European Union without a deal. We can not - and must not - let you down.
My message to Parliament this weekend is simple: it is time to forget the games and do what is right for our country.
DRS key as India seek to level ODI series
India on Sunday named all-rounder Vijay Shankar and batsman Shubman Gill as replacements for KL Rahul and Hardik Pandya . Personally, I would be happy if Dhoni bats at four'.
Under the rebels' plan, reported in the Sunday Times, the Government would lose control of parliamentary business which would threaten Brexit legislation and the Government's ability to govern.
"Doing so would be a catastrophic and unforgivable breach of trust in our democracy", May wrote in the Sunday Express newspaper.
Japan's Prime Minister Shinzo Abe warned on Thursday that the world did not want to see a disorderly Brexit and that he fully supported May's withdrawal deal.
May pulled a vote on the deal last month, acknowledging it would have been roundly rejected by MPs.
The Labour leader made the admission as Transport Secretary Chris Grayling denied there was a "void" in government over Brexit during an interview with Sky News.
But he said he does not have the military "actively involved" in no-deal planning beyond the secondment of a "small number" of staff from the Ministry of Defence.
Liberal Democrat leader Sir Vince Cable also hit out at Mr Corbyn for "sitting on the fence", saying that his Brexit stance is now more confusing than ever.