Hazlewood took five wickets in the first test in Perth where Australia were thrashed by 295 runs to fall 1-0 behind in the five-match series.
CricketAustralia said Sean Abbott and Brendan Doggett had been brought into the squad for the day-night test at Adelaide Oval which starts Dec.
6, although Scott Boland is Hazlewood's most likely replacement.
Australia have another injury concern for all-rounder Mitchell Marsh who pulled up sore after bowling 17 overs in Perth.
Uncapped all-rounder Beau Webster was called into the squad two days ago as cover for Marsh.
Australia are already without regular all-rounder Cameron Green, who was ruled out of the series after opting to have surgery on a stress fracture in his lumbar spine.