Ms Truss, who is up against ex-Chancellor Rishi Sunak in the Tory leadership contest, is understood to want Lord Frost to run the Cabinet Office. According to the Sun, the ex-CEO of the Scotch Whisky Association would undertake the role as Ms Truss’ Chancellor of the Duchy of Lancaster. Allies of Lord Frost claim discussions are ongoing and no agreement is set in stone.
The Tory peer was a key figure in Boris Johnson’s Government and helped negotiate the UK’s post-Brexit trade agreement with the European Union.
However, Lord Frost resigned from Government last year after becoming disillusioned with Mr Johnson’s high taxes and Covid-curbing restrictions.
Lord Frost, whose Brexit brief was handed over to Ms Truss following his resignation, has since reinvented himself as the voice of true conservatism.
He has been critical of plans to achieve net zero and HS2.
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Frost has also voiced support for fracking and low taxes.
A Tory source said: “There’s a place for Frosty at the table, for sure, but so far he seems to be holding out for something bigger than CDL.”
But Lord Frost told The Sun: “No one should be speculating about future roles in Government while the leadership election is still not even over. I continue to be fully behind Liz as the best candidate for future PM.”
A spokesman for Ms Truss said: “We don’t comment on rumours, gossip, or speculation – we’re taking nothing for granted.”
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However, a recent opinion poll conducted by YouGov indicated Ms Truss has opened up a 32-point lead over Mr Sunak among Conservative Party members.
Allies of the ex-Chancellor remain adamant he can defy the opinion polls and win the race to succeed Mr Johnson.
Mental Health Minister Gillian Keegan, who also labelled the ex-Chancellor as the “underdog” in the race, told Express.co.uk: “Rishi has travelled the length and breadth of the country meeting members; listening to their views and explaining his.
“When Rishi visited my constituency, Chichester, his positive and honest approach won everyone over.”
North West Leicestershire’s Eurosceptic Tory MP Andrew Bridgen also compared the situation facing the ex-Chancellor in the opinion polls to the 2016 Brexit referendum.
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Mr Bridgen told Express.co.uk: “Never discount the underdog, Vote Leave was behind in the polls but won through on the day.
“Rishi is campaigning very hard and winning the hearts and minds of the membership everywhere he goes.”
However, supporters of Ms Truss have questioned the noises coming out of Sunak’s camp.
A Brexit-backing Truss supporter said: “Odd that his own people should use such a term.”
Another ally added: “I think Sunak is sunk and his supporters [are] just deluded now.”