Burnham has criticised the law preventing football supporters from drinking alcohol in stadium stands, describing the restriction as discriminatory.
The ban has been in force since 1985 and remains a legal restriction on fans who want to consume alcohol while watching matches from the stands. Details of any proposed replacement or timetable for changing the law have not been provided.
The prime minister is opposed to the existing legislation and believes there is a case for removing it. The position indicates support at government level for reconsidering the restriction, although the supplied information does not confirm whether formal changes have been proposed or when any decision could be made.
For now, the ban remains in place. Any change would require the law to be reviewed and removed or amended through the appropriate process.