Kane Williamson, Henry Nicholls and Mitchell Santner are doubtful starters due to viral infections.
New Zealand lost the first two matches by 296 and 247 runs respectively.
New Zealand have won only one of the last 30 Tests between the two countries, with seven Tests ending in a draw.
The tourists last won against Australia in Test matches in 2011 in Hobart.
The pressure of winning a Test match against Australia is increasing with every passing Test. New Zealand won against the Aussies way back in 2011 and captain Kane Williamson must be quite aware of the fact. But similar to the case of the current England Test team, most of the players in the New Zealand squad are also down with infections and bugs, making their case for a win even tougher. With Trent Boult already out of the squad, captain Williamson can also suffer the same fate. As far as the hosts are concerned, retirement of Peter Siddle can make way for the inclusion of James Pattinson. Sydney wildfires are an issue and can affect the proceedings of the Test match.