Miller's denial of claims over press regulation.
Following a meeting with the Culture Secretary and Cabinet Office minister Oliver Letwin yesterday morning, campaign group Hacked Off said that they understood she was planning two pieces of legislation to underpin a new "verifying body" established under Royal Charter to monitor the operation of a new press watchdog.
The campaign group - which represents victims of press intrusion - said the proposal made "no sense" and urged ministers to implement the recommendations of last month's Leveson Report in full.
But a spokesman for Mrs Miller's Department for Culture, Media and Sport (DCMS) said that she continues to believe that statutory underpinning is not necessary to achieve the principles for regulation set out by Lord Justice Leveson.
The spokesman said that the ball was still in the court of the industry, which has been told to come up with a blueprint for a new self-regulation body which would be genuinely independent and effective in dealing with complaints.
Mr Letwin has floated proposals for a Royal Charter, which were discussed on Wednesday by David Cameron, Nick Clegg and Ed Miliband, though the three party leaders reached no agreement.
It is understood that Mr Letwin envisages setting up an independent body under Royal Charter, with responsibility for verifying the new voluntary system of self-regulation and ensuring that it is working effectively. Reports suggested that he has accepted his Royal Charter plan would require parliamentary approval, though it is not clear whether this would mean legislation.
Following yesterday's meeting, Hacked Off director Brian Cathcart said Mr Letwin and Mrs Miller had told him they plan two new pieces of legislation - one to underpin the verifying body and the second to put in place incentives for the press to join the self-regulation body.