Lynette, who disappeared in 1982, has been the subject of a wildly popular podcast, The Teacher's Pet, hosted by The Australian journalist Hedley Thomas.
Forensic detectives will double down in their search for the missing mother-of-two by digging up her former family home in in Bayview, on Sydney's northern beaches, the Sydney Morning Herald reports.
While two coroners previously found Lynette's ex-husband Chris Dawson murdered the young mother, her body has never been found.
Despite the inquest findings, the Director of Public Prosecutions found there was insufficient evidence to lay charges.
Lynette, then aged 33, left behind two daughters when she vanished over 35 years ago.
Shortly after her disappearance, Chris Dawson's schoolgirl lover Joanne Curtis moved into the family home.
Strike force detectives commenced their search at the property on Wednesday.
If you have any information call Crimestoppers on 1800 333 000.