Worcester's MP is calling for a man who killed three children in the city not to be allowed to return there.
It follows reports David McGreavy, 54, has been leaving a West Sussex prison on unescorted trips to Liverpool.
McGreavy was jailed for life in 1973 for the murders of Paul Ralph, four and his sisters Dawn, aged two and nine-month-old Samantha.
MP Michael Foster said a ban from entering Worcester should be a condition of any early release.
McGreavy was baby-sitting the children when he killed them and impaled them on an iron railing.
The Sun newspaper reported that during the past six weeks McGreavy had been allowed on visits away from Ford Prison in Arundel in preparation for his release.
Mr Foster said: "If that's the case, then I think part of the conditions of this early release are that he shouldn't be allowed into the city and if he breaks it and is seen in the city he should immediately be sent back to prison.
"The memories live long of the horrors of the McGreavy case."
A Home Office spokeswoman said it was normal for life sentence prisoners to be allowed out temporarily before their release, but could not comment on the McGreavy case.
"All prisoners will be fully risk-assessed before being moved to an open prison or being allowed out of prison on a temporary licence. It's a tightly managed process," she said.
"(It) happens as part of our commitment to rehabilitate prisoners, to help them reintegrate into society and also to test them."