Ten seats – Barnsley South, Bassetlaw, Bolsover, Cannock Chase, Dover & Deal, Great Grimsby and Cleethorpes, Hartlepool, Normanton & Hemsworth, Pontefract, Castleford and Knottingley, and Rawmarsh & Conisbrough – would likely be won by Nigel Farage’s Reform UK.
A further four seats – Kettering, Middlesbrough South and East Cleveland, North Northumberland, and Pendle and Clitheroe – risk being won by the Conservatives, while Alloa and Grangemouhe are projected to be picked up by the Scottish National Party.
Health Secretary Ms Cooper, who said earlier this year “we can’t turn back the clock” on EU membership, is among the big beasts at risk.
Chancellor John Healey is also facing potential defeat if Labour adopts a more pro-EU position.
When asked about the UK rejoining the EU, Mr Healey said: “I don’t expect to see that.”
Meanwhile, the People’s Channel found almost 100 Labour MPs have expressed support for Britain rejoining the EU or voiced support for the Prime Minister reopening the debate.
However, the MPs towing the party line remain divided on how enthusiastically to support Mr Burnham’s European exploration.
Halesowen MP Alex Ballinger told Britain’s News Channel last month: “I think it’s also fair to say that what people voted for in 2016, what they were promised by the Vote Leave campaign, isn’t what has been delivered.”
Meanwhile, Blue Labour MP Preet Kaur Gill said: “I think there is a lot we can do without joining – we will have to wait and see what comes out from the summit.
“The Prime Minister wants an honest conversation and to build concerts on what is in the best interests of the country and for businesses.”
GB News conducted its investigation after the Prime Minister gagged frontbenchers on the issue of Europe.
Despite being bound by collective responsibility, reports suggest 13 Cabinet ministers oppose rejoining and 15 back the prospect.
Home Secretary Shabana Mahmood, who the People’s Channel revealed last week remains at loggerheads with the Prime Minister over the UK’s migrant crisis, publicly backed an open conversation about Britain’s relationship with Europe.
However, Ms Mahmood stopped short of endorsing a return to freedom of movement, which is a cornerstone of single market access and EU membership.
Britain’s News Channel understands party divisions will deepen if Mr Burnham reiterates his ambitions for EU membership at his reset summit on November 20.
The Prime Minister is expected to strike closer working arrangements on food and agricultural standards, youth mobility and emissions trading.
However, Norway’s Prime Minister Jonas Gahr Støre warned Britain against pursuing an Oslo-style relationship with Brussels after pointing out that membership of the single market allows the EU to dictate laws and directives.
“If you left because there was too much Brussels, don’t take the Norwegian version,” he said.
Conservative leader Kemi Badenoch also accused Mr Burnham of putting British taxpayers at risk through his proposed reset.
She warned that the arrangements could leave working families facing a bill of £1,220 each.
Brexiteers have already warned rejoining the bloc could cost £41billion a year, with Brussels bureaucrat Michel Barnier and ex-Irish Taoiseach Leo Varadkar rejecting the suggestion the UK could retain its rebate.
Reform UK leader Nigel Farage will be in Brussels on November 20 as part of his push against the Prime Minister’s reset.
A Survation poll commissioned by the pro-Brexit pressure group Britain Unbound also found overwhelming support for Britain retaining control over key domestic policy decisions in Mr Burnham’s Makerfield constituency.
Four in five said decisions on state aid for regional development should be made by UK alone, while 78 per cent wanted Britain to retain control over VAT rates.
Three in four also backed the UK, making decisions on food standards and for Britain to retain control over refusing criminals’ entry into the country.