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A man is standing outside the Queen Elizabeth II centre holding a satirical image that shows Lord Justice Leveson sweeping an overloaded donkey cart full of the main players in the Leveson Inquiry.
The painting is by Kaya Mar and is entitled "Leveson Inquiry - We're All In This Together".
The Government should not interfere in press regulation "under any circumstances", the father of a July 7 bombings victim said.
Graham Foulkes, whose 22-year-old son David was one of the 52 people killed in the 2005 attacks, is thought to be a potential phone hacking victim.
He told BBC Breakfast: "What mustn't happen, under any circumstances, is for Parliament and Government to start interfering and passing laws to regulate the press and the media in any shape or form.
"A free press and a free media is a cornerstone of democracy and we should not allow the Government to interfere.
"I'm hoping that Leveson comes up with a process which will restore public confidence in the media by forcing the media to behave themselves."
Actor and phone-hacking victim Hugh Grant has arrived at the Queen Elizabeth II centre in Westminster where Lord Justice Leveson will make his statement this afternoon.
Health Secretary Jeremy Hunt refused to answer any questions on the Leveson report this morning ahead of its publication.
Mr Hunt, the former Culture Secretary, lost his special adviser and came very close to losing his job after the closeness of links between his office and lobbyists for Rupert Murdoch's News Corporation were revealed during the Inquiry.
Elle Macpherson's former PA, Mary-Ellen Field, has told Daybreak that "appearing at the Leveson enquiry was democracy in action."
She said: "We were listened to, it was reported and I felt that democracy hadn't failed me as I had thought."
Former NotW journalist Tom Latham has told Daybreak that newspapers are already not running stories in the public interest in the wake of the Leveson enquiry.
He added: "If you seed anything to the government it's a slippery slope and then you start to lose control of the freedom of the press."
Hacking victim Ben Noakes has told Daybreak that the UK press should be subject to "some sort of statutory underpinning."
"Self-regulation does not work", he added.
Mark Lewis, one of the first lawyers to represent a phone hacking victim, has told Daybreak that "it's time for the people to get back" in the wake of Lord Justice Leveson's report.
He said: "We want an independent regulator which is away from the press and away from the government."
Lord Justice Leveson's report into press standards will be published today amid fears its recommendations could throw the Government into turmoil. Daybreak's Sue Jameson reports.
Latest ITV News reports
Lord Justice Leveson says a genuinely independent and effective system of self-regulation is needed.
First snapshot of Lord Justice Leveson's Inquiry into the Culture, Practices and Ethics of the Press.