The former Defence Secretary Liam Fox asked the Prime Minister whether he would address the issue of access to justice as well as press regulation.
He said he that anyone should have the ability to use the existing libel and defamation laws and not just the rich.
The Prime Minister said people "should be able to rely on a good regulatory system" to stop abuses happening before they reach court.
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.
Nick Clegg sources say it is inevitable there will be differences between his response to the Leveson report and the Prime Minister's.