It has highlighted the bungled handling of Mrs Dawson's case by police in the early years after her disappearance, prompting a recent apology from the state's police commissioner.
Chris Dawson has been refused bail over his wife's death.
Police say she went missing in Sydney's northern beaches in 1982 and her body has never been recovered.
Mr Fuller said finding Ms Dawson's remains was "not crucial to finalising the matter", however investigators had not given up hope of doing so.
Commissioner Fuller said fresh information from witnesses this week provided a breakthrough in the case.
"No doubt it will be a voluminous brief with an enormous amount of evidence and there are a number of witnesses that will be called".
He continues to maintain he had nothing to do with his wife's disappearance.
Speaking on Studio 10 on Wednesday, Lyn's brother Greg Simms - the first of her family to be contacted by police today- said the family were "over the moon" about the arrest.
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Her disappearance and suspected murder were returned to prominence through the Australian newspaper's investigative podcast series The Teacher's Pet. Hit podcast "Serial", which investigated the murder of Baltimore high schooler Hae Min Lee and the subsequent arrest and prosecution of Adnan Syed, helped reveal little-known evidence regarding the case.
He said media reports had contributed to officers gaining additional statements relating to the disappearance.
A week-long search of her former home in September failed to find any new evidence.
Police allege Mr Dawson was in the process of divorce from his wife and he was having an "illicit affair". Image: AAP Police remained at the home for a week.
"We're certainly hoping an interview with this 70-year-old man who's now in custody in Queensland will assist us with the outcome of where the body may be".
Chris Dawson, the husband of missing Sydney woman Lynette Dawson and subject of popular true crime podcast Teacher's Pet, has been arrested on Queensland's Gold Coast this morning.
Nearly 40 years after Sydney mother Lynette Dawson disappeared, her husband spent his first night in police custody accused of her murder.
Dawson, a Newtown rugby league player in the early 1970s, has always been a suspect in the case but denies any involvement in his wife's disappearance.
In September, investigators dug up the Bayview home for nearly a week but said they found no human remains and no significant clues.