The Lib Dems Deputy Leader Simon Hughes told ITV1's The Agenda that he is opposed to the statutory regulation of the press.
He told ITV News Political Editor Tom Bradby: "There must be a strong argument for making sure we don't have a dominant force which runs all the channels so we don't have the choice, they influence too much and set the prices, set the agenda."
"There is the other issue which is about regulation... I'm not for having a statutory system but I am for having a system that says look there will be a fall-back."
Lord Justice Leveson's report is published on Thursday.
The Agenda is on ITV1 at 10.35pm and at 11:35pm in Scotland.
More top news
YouTube superstar Alfie Deyes got a sense of how far he has come when thousands of fans descended on his latest book signing in London.
The last blog from woman about her final days after she was diagnosed with cancer - and the things she valued in life - has gone viral.
Ed Miliband would rather discuss working families and the NHS, but the question of English 'home rule' looms large over Labour's conference.