David Cameron has said that the status quo in the media industry is "unacceptable and needs to change".
Speaking during Prime Minister's Questions, he said he hopes the house can work "across party lines" on the issue.
The Labour leader Ed Miliband agreed that it was an all-party issue.
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.