Labour has so far failed to get MPs to back its alternative Brexit plan, which would see the United Kingdom in a permanent customs union with the EU, and has now said it will attempt to get a new EU referendum.
Labour's shadow chancellor John McDonnell said the proposal "smacks of desperation from a government reduced to bribing MPs to vote for their damaging flagship Brexit legislation".
British Prime Minister Theresa May is facing accusations of bribe on Monday, after her decision to grant a millions-worth fund to poor communities that mostly voted for leaving the European Union (EU) in 2016.
Labour's shadow chancellor, John McDonnell, was quick to brand the move a "desperate bribe", and pointed out that numerous towns in question are struggling because of the Conservatives' nearly decade-long austerity policy.
The CLP also supported formally advising Mr Hill to vote to ensure that Britain does not leave the European Union without a deal.
If Mrs May's deal is rejected Ministers fear MPs in Parliament, who generally back a soft Brexit, will attempt to seize control of the exit process if the deal is voted down again.
Ms Blackman added: "Scotland must get its fair share and not lose out like we did in the Tories' last £1bn Brexit bung to the DUP, when Scottish secretary David Mundell failed to secure a single penny for Scotland". But if she fails she will need the help of Labour Party lawmakers and some in Leave-supporting districts have indicated they are willing to break ranks.
But former minister and Labour MP Caroline Flint suggested that up to 70 MPs from the party could vote against calling another vote in Parliament.
Although numerous 118 Tories who voted against May's deal in January are likely to swing behind her next week, she needs nearly all of them, and some are now looking unpersuaded.
Brexit: Many Labour MPs 'don't want a second referendum either'
Attorney General Geoffrey Cox has dropped attempts to secure key demands for a unilateral exit mechanism from the backstop or a time limit for it, according to the newspaper.
"We are trying to find a junction between our positions and we are not there yet", the source added.
Graham Brady, chairman of the influential 1922 Committee of Conservative lawmakers, expressed optimism that a breakthrough was close.
A float with a figure of UK Prime Minister Theresa May sitting on a toilet during a carnival parade in Stuttgart, Germany.
In an interview on BBC Radio 4's Today programme, Communities Secretary James Brokenshire denied accusations that this new money for poorer English regions was a Brexit bribe.
It would be used to generate new jobs, help to train talents and boost economic activity.
One billion pounds has already been allocated, with over half of the funds going to towns across the north of England. the government said that another 600 million pounds will be available for communities across the country to bid for.
Support for Brexit was strongest in areas such as northeast England and the Midlands, which have some the highest unemployment and the lowest incomes in the country.