The options for Brexit "are narrowing", Health Secretary Matt Hancock has said, after MPs voted to seize control of the parliamentary timetable.
The PM was dealt a fresh blow as the government was defeated by 27 votes on Monday, on a plan designed to find out the kind of deal MPs would support.
Thirty Conservative MPs rebelled, including three ministers.
Mr Hancock said the government would listen to MPs but "can't pre-commit to following whatever they vote for".
He told Radio 4's Today programme that the Commons had rejected no deal and a second referendum, and urged MPs to back the PM's Brexit deal.
Jacob Rees-Mogg, chairman of the Eurosceptic group of Tory MPs the European Research Group (ERG), is among the group of pro-Brexit MPs who the prime minister has been trying to persuade to back her deal.
On his ConservativeHome podcast, he said: "I have always thought that no deal is better than Mrs May's deal, but Mrs May's deal is better than not leaving at all."
But the Democratic Unionists, whose 10 MPs prop up Mrs May's government, urged Tory Brexiteers to continue to "stand firm" in their opposition to the prime minister's deal unless there were "significant changes".
Their Brexit spokesman Sammy Wilson suggested extending negotiations by a year was preferable to accepting the deal on offer as this would allow the UK to "have a say on the things which affect us during that time".
"Surely this is a better strategy than volunteering to be locked into the prison of the withdrawal deal with the cell door key in the pocket of Michel Barnier," he wrote in the Daily Telegraph.
Ministerial resignations
On Monday night, MPs voted in favour of Conservative backbencher Sir Oliver Letwin's cross-party amendment, which will allow MPs to put forward motions relating to Brexit - most likely a series of so-called indicative votes.
Because of this, MPs will be able to vote on a number of options on Wednesday - likely to include a "softer Brexit", a customs union with the EU and another referendum - designed to test the will of Parliament to see what, if anything, commands a majority.
Latest Stories
-
Agogo Presby Hospital celebrates staff over zero maternal death record
4 mins -
Ghana isn’t broke to procure high and low-voltage poles – Energy Minister
4 mins -
Appiatse residents handed keys to newly constructed homes
12 mins -
Dreams FC trainer Karim Zito sets sights on defending MTN FA Cup
16 mins -
Dumsor: Mahama the only President to superintended ‘dum dum’ for 4 years – Opoku Prempeh
26 mins -
Burnley sign partnership deal with fan-backed scouting platform Nordensa
49 mins -
Akesse Brempong, MOG Music, Afronita, Dope Nation to perform at Nsoromma Season 6 Grand Finale
53 mins -
Hopeson Adorye to form ‘Jail Them’ advocacy group
2 hours -
Shatta Wale once cried and knelt to apologise to Mahama – Dr Lawrence Tetteh
2 hours -
Former UK Prime Minister Boris Johnson turned away from polling station after forgetting photo ID
2 hours -
Nigeria soldiers face trial for deadly air strike ‘mistake’
2 hours -
Akufo-Addo, Otumfuo to commission Kumasi International Airport on May 10
2 hours -
PWDs who gain admission into tertiary institutions will be prioritised with government scholarships – Bawumia
2 hours -
Strongman regrets involving Fella Makafui in Medikal feud
2 hours -
NPP must unite now or perish later – Ameyaw-Akumfi warns
3 hours