Despite the reports, Mr Burnham revealed today that he has not yet decided who he will appoint to his Cabinet when he becomes Prime Minister
Andy Burnham is already facing down the prospect of a backbench revolt over his plans to appoint Shabana Mahmood as his Chancellor.
Despite the pound rising this week amid news of Ed Miliband's snub for the role, Mr Burnham is staring right at a rebellion from his core support, who think Ms Mahmood is too right-wing and is not experienced enough for No11.
The Home Secretary has never held an economic position in Government, though held two Treasury briefs in opposition.
"Shabana has no sense of economics. It's just not something she’s ever spoken about. She's not collaborative. It's not clear how she would drive the machine," one senior Burnham ally told The Times.
Another Labour MP said: "It's baffling a lot of people because nobody knows what her views are on the economy. Does she even have any? She's never done a speech or intervention. It's just absolutely bizarre and I can't see her as a sensible appointment."
The same MP then claimed Mr Miliband would have been a better choice, as did Rachael Maskell, who hailed him for "advancing the whole climate agenda".
Ms Mahmood's allies pointed to her record of delivery at the Home Office - though more than 300 small boat migrants arrived last week.
"The fact she is willing to do what is right rather than what is popular is a very good trait," one ally said, referring to her migration reform plans which have long sparked fury from the Labour left.
He said: "Contrary to what you may keep on reading, I haven’t made any decisions on who will be in my top team."
"But I will soon but when I have you will see that it reflects all parts of our party, all communities and it will reflect your own place within this great place within this great party of ours.
"A stronger, more united Labour Party building up a stronger and more united Britain."
Yvette Cooper has also been tipped as a surprise pick for the Chancellor position.
Ed Miliband is also understood to be in the running, with the Energy Secretary willing to turn his back on Net Zero and back North Sea drilling if he is named to the role.
Lucy Powell looks set for the Deputy Prime Minister role alongside either the Education portfolio or the Labour Party Chair position.
Ms Reeves is understood to be in line for a Cabinet post, with Culture Secretary and Health Secretary both under consideration as potential destinations.
Former transport secretary Louise Haigh is expected to take on the Chancellor of the Duchy of Lancaster brief, with Angela Rayner returning to Housing.
Wes Streeting and David Miliband are among those being considered for the Foreign Secretary role, though the latter would require a peerage, as he currently sits outside Parliament.
Mr Burnham set out his vision for Britain in his first speech as Labour leader today, where he warned: "This is Labour's last chance".
The former Mayor of Manchester said: "I will work relentlessly to build a culture of one Labour team, because change starts with us.
"We won’t beat Britain’s new Right if we are consumed by in-fighting and pulling in different directions."
