On March 11 2003 in his book Burden of Power, Countdown to Iraq, which is being serialised by The Guardian, Campbell wrote: "(Tony Blair) took a call from Murdoch who was pressing on timings, saying how News International would support us, etc.
"Both TB and I felt it was prompted by Washington, and another example of their over-crude diplomacy. Murdoch was pushing all the Republican buttons, how the longer we waited the harder it got."
The following day he added: "TB felt the Murdoch call was odd, not very clever."
Mr Campbell claims in 2002 Downing Street believed the then chancellor Gordon Brown was "hell-bent on TB's destruction" as a result of his behind-the-scenes manoeuvring.
The former No 10 communications director also suggests that his former boss believed the Prince of Wales had been "captured by a few very right-wing people", following the publication of leaked letters he wrote about a US-style compensation culture in 2002.
More top news
The coronavirus outbreak continues to wreak havoc right across the financial world.
The Dancing On Ice star and her husband Sam Kane were admitted to hospital earlier this month.
The Duke and Duchess of Sussex revealed how their protection will be paid for after a tweet from President Donald Trump.