Officers investigating the brutal murder of the 53-year-old, who was attacked in Cranhill Park, in the east of the city, are in talks with bosses at BBC's Crimewatch.
The move has been welcomed by community leaders who say there are concerns in the area.
A Crimewatch team is due to start filming in the area later today. It is not known at this stage if there will be a dramatised reconstruction of the events.
Mrs Campbell was walking her German shepherd Kia on the night of December 13.
Her husband John Campbell, 55, found her body the following morning in a disused play park after finishing a night shift.
A BBC spokeswoman said: "Crimewatch is working with Police Scotland on a further appeal regarding this case.
"At this stage, we can't yet say exactly what form the appeal will take or when it might air."
A Police Scotland spokes-woman said: "Officers from the investigation team are speaking to members of the BBC Crimewatch team."
Millions of TV viewers watched the first Crime-watch appeal on the murder which aired on January 22.
Detectives are still trying to piece together Mrs Campbell's last movements.
More than 1200 local people over the age of 12 have been DNA-tested as the probe continues.
Crimestoppers are offering an award of up to £5000 for information.
MSP for Glasgow Provan Paul Martin said featuring the murder on the show for the second time could "jog someone's memory".
He said a fresh appeal would also "show the effect it has had on the community".
He added: "Crimewatch has shown in the past that it has been a catalyst for unsolved crimes and it could happen again."
Mr Martin appealed for people to come forward.
He said: "There is still concern in the community because this is an unsolved murder. I would urge anyone who knows anything to come forward - even if it's anonymously - to give the police information."