The government is beginning to draw up a draft bill on regulating the newspaper industry.
In his report yesterday, Lord Justice Leveson called for a new, independent, watchdog to supervise the press which should be underpinned by legislation.
David Cameron told MPs he was opposed to any statutory control.
Speaking to today presenter John Humphrys, Culture Secretary Maria Miller explained that there are concerns about creating amendable legislation that might give parliament "the opportunity of stopping reporting on certain areas".
"We fully accept the principles of the Leveson report and we are looking at the details of implementation," she explained.
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