Martyn’s Hett friends Russell Hayward and Mikey Keating are among the people joining Ms Murray for parts of the walk.
Mr Hayward said the aim was to “publicly shame the government” into taking action, while Mr Keating said the proposals were “very much common sense”.
The government was “committed” to bringing in Martyn’s Law “as soon as possible”, the Home Office spokesman said.
Concerns have been raised about the impact of the law on smaller businesses.
Ms Murray said the proposed measures would be proportional to the size of a venue.
“We’ve always said it’s not punitive, it’s common sense,” she said.
