The government is said to be “on board” with a regional daily-backed campaign to change the law in memory of a terror attack victim.
Mr Hett was one of 22 people to die in the 2017 Manchester Arena terror attack.
Mrs Murray wants to tighten up security checks at concerts, such as the one her son was attending when he was killed, by introducing obligatory metal detectors and mandatory bag searches at all major public venues.
She spoke to the MEN after meeting with Mr Lewis at the Home Office, in London.
Mrs Murray said: “I am very grateful that we were given the opportunity to meet with the Rt Hon Brandon Lewis MP, who is definitely on board with Martyn’s Law.
“He has pledged to take it forward and further conversations will soon be taking place to discuss the best way forward so that this gets onto the statute book and protects people.
“Although the meeting felt very supportive of Martyn’s Law, we will keep up the pressure. I said in the meeting that I will not let this go as it is too important, and I don’t want other people to be in my situation.
“We will judge him and judge the government and that commitment against what is delivered.”
MEN editor-in-chief Darren Thwaites told HTFP: “It’s a very promising development in an important campaign that we fully endorse.
“We’ll continue to provide our support to Figen and we’ll maintain pressure on politicians to ensure Martyn’s Law comes to fruition and keeps people safe.”