The Prime Minister says he wants "a sensible regulatory" system to emerge from the Leveson inquiry into press standards.
The report will be published this week and will propose changes to the system of self-regulation under the Press Complaints Commission (PCC) in the wake of the phone-hacking scandal.
There is widespread opposition to a statutory system that would involve the government directly and a debate about what kinds of changes would protect individuals with a grievance.
Lord Hunt - the former Conservative minister David Hunt - chairs the PCC. Speaking to the Today programme, he said: "I am optimistic that once Leveson has fired the starting gun, we can set up a really good independent system for the first time ever, embracing freedom of the press.
"Let's restore public trust and confidence, but let's do it with self-regulation."
Will Hutton, the former editor-in-chief of The Observer, said: "I would like to see Justice Leveson bring a rounded package that could make our press more powerful."
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