British Prime Minister Theresa May | Pool photo by Christopher Furlong/Getty Images Theresa May: No ‘sufficient support’ for third vote on Brexit deal Prime minister says she will provide time for MPs to hold votes on other scenarios.

U.K. Prime Minister Theresa May told the House of Commons that there is still not enough support among MPs to bring her Brexit deal back for a third vote.

May's government has until March 29 to win parliamentary approval for her deal, which would allow the U.K. to leave the EU with an agreement on May 22. If she fails to do, or does not hold a vote, the U.K. would have until April 12 to propose a new way forward or leave without a deal.

However, May has said that she will not bring her deal back until she is confident she can win. Speaking in the House of Commons Monday, she said there is “still not sufficient support in the house to bring back the deal for a third meaningful vote.”

She did not rule out an attempt later this week, but so far talks with her parliamentary allies the Democratic Unionist Party have not yielded a breakthrough, nor have Brexiteers in May's own party indicated a change of heart in sufficient numbers.

Later on Monday, MPs are expected to attempt to wrest control of the Brexit process from May, paving the way for the House of Commons to hold indicative votes on alternative Brexit options, such as a closer economic relationship with the EU than May envisages, or a second referendum on membership. Votes are expected after 10 p.m. local time.

"The government has no plan" — Jeremy Corbyn

May said her government would not back an amendment, put down by Conservative MP Oliver Letwin, preparing the ground for indicative votes, but pledged to "seek to provide government time for this process." However, she said she is "skeptical" about the plan, warning that similar attempts have produced "contradictory outcomes or no outcome at all.” She refused to commit her government to respecting any instruction from MPs via indicative votes, but promised to engage "constructively" with the process.

In a shift in tone, the prime minister talked down the prospects of a no-deal Brexit, saying that it would not happen unless the House of Commons agrees to it. MPs have twice rejected the prospect of no deal in non-binding votes. She added that no deal would do “damage" to the U.K., particularly Northern Ireland, which has no functioning government and therefore has been "unable" to prepare properly.

However, she repeated her deep opposition to a second referendum saying that a no-Brexit outcome "must not happen."

Responding to the statement, opposition Labour leader Jeremy Corbyn called the government's handling of Brexit a "national embarrassment."

"The government has no plan. For them, it's all about putting the Conservative Party before country," he said.