Job advertisements have flattened out, according to ANZ.
The ANZ Bank's job ads index eased a seasonally-adjusted 0.3 percent in December, the second consecutive monthly fall.
On an annual basis, the rate of growth slowed to 6.1 percent.
ANZ chief economist Sharon Zollner said the easing growth rate is not surprising because the current economic cycle is maturing.
"We will be keeping an eye on indicators such as hiring intentions, with near-term risks for the economy tilted downward," she said.
The data showed demand for workers in construction, manufacturing and transport, along with agriculture and health.
Sharon Zollner said ANZ's view remains that short of a negative shock, from offshore or from the weather, the economy would successfully navigate any near-term growth wobbles.