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
The Democratic presidential nominee pledged to foster an inclusive society, create jobs and make college tuition debt free for all.
The 16-year-old, who has a social media following of over 15 million people, suffered two fractured ribs, a bruised lung and concussion.
Newly appointed minister Lord Ahmad pledged to review passenger screening procedures amid a spate of drunk passenger incidents.