Separate to the private member's bill, the government is conducting its own review of the Licensing Act.
A consultation paper launched by Tourism Minister John Penrose in September proposed scrapping much of the act.
Mr Penrose called current regulations "a mess" and said licences were being issued "for many events where there is little or no risk of trouble".
Potentially more far-reaching than the private member's bill, his paper looked at relaxing the rules on everything from plays and live music to indoor sports.