The department added it was "too soon to speculate" whether there would be a fourth inquest, after a coroner in 1995 recorded an open verdict.
However, Chamberlain said he had been informally told authorities were moving to set up an inquest early next year, adding that he was confident of finally proving Azaria was stolen by a dingo.
New evidence includes details of other attacks by Australia's native wild dog on humans, including one in which a nine-year-old boy was killed in 2001, he told Fairfax newspapers.
"It's justice for Azaria," he said, according to public broadcaster ABC. "Her spirit does not rest because the truth was never told about how she actually died."
Azaria was just nine weeks old when she went missing on August 17, 1980 during a camping trip to Uluru, the evocative red monolith in the heart of Australia's Outback. Her body was never found.
The case inspired 1988 hit film "A Cry in the Dark", starring Meryl Streep and Sam Neill, along with books, a TV mini-series and even an opera, and was followed closely by foreign media, making it a global cause celebre.