A second ally confirmed that Mr Johnson had discussed moves to ease the pressure on households from the price review later this year.
It comes as tensions grow between Number 10 and 11 Downing Street about the Government’s response to the cost of living crisis with Mr Johnson seemingly keen to do more.
The spat is emblematic of an ideological divide emerging within The Conservative Party about whether the Chancellor should cut spending or not.
One camp more aligned with Mr Sunak argues that the very high levels of Government spending seen during the Coronavirus pandemic is unsustainable and doesn’t represent the low tax pro-free market values the Tories should espousing.
Another ally aligned more closely with the PM argues that the cost of living crisis means it’s essential to continue spending more to continue the levelling up agenda and ensure red wall voters stick with the Tories at the next general election.
One ally of Mr Johnson has gone as far as to blast Mr Sunak as a “modern Mike Yarwood” comparing him to the 1970s television impressionist.
The ally told The Telegraph that Mr Sunak had two personalities: the low tax one he claims to be and “the highest taxing Chancellor in history”.
Mr Johnson’s plan to ensure an upper limit for energy bills next winter which would have cost billions of pounds would have been “universal” rather than means tested.
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They said: “That conversation has not been had, and it is not right to say the PM said something about October and it was rejected by the Treasury.”