Longhurst was killed by Graham Coutts five years ago.
In his trial, Coutts admitted to watching online porn that depicted women being strangled and raped.
In response, a campaign to ban violent and sadistic websites was launched.
Citing "the long-standing support of three Home Secretaries, 180 MPs of all parties as well as Amnesty International and thousands of individuals, women's organizations and faith groups and others who supported the Jane Longhurst campaign against violent Internet pornography," Labor MP Martin Salter (Reading West) pressed the House to "confirm that the Government intends to deliver quickly … these promised measures within the forthcoming Criminal Justice and Immigration Bill that is currently in the House of Lords."
Assurances were forthcoming that the Government would act as soon as possible to curb access to violent pornography being spread through the Internet.
"The Criminal Justice and Immigration Bill contains many important and good measures," Helen Goodman, Deputy Leader of the House of Commons, said. "As you know, it's vital that the Bill secures support in both Houses to a reasonable timetable. This means that sometimes difficult decisions have to be taken."
Goodman will work with law enforcement and other agencies to help ensure that the legislation will come up in a future session.
"I'm sure that my colleagues in the Ministry of Justice (MoJ) are aware of the public support for the measures which you have mentioned and I will refer the matters to the Secretary of State," Goodman said.
