On Sunday, the chairman of the soon-to-be-scrapped Press Complaints Commission said about 2,000 editors will sign up to a new independent press watchdog,
Lord Hunt, who will take part in the talks between the Prime Minister and Fleet Street, dismissed claims legislation was required to persuade publishers to join a tougher regulatory system.
He also called for five-year rolling contracts to ensure publications could not "walk away" from a new regime.
Speaking to Sky News' Murnaghan programme on Sunday, he said:
" I have spoken to 120publishers speaking on behalf of 2,000 editors. They have all told me they will sign up".