Williamson, along with Henry Nicholls and Mitchell Santner, are known to be suffering from viral infections that could keep New Zealand reeling for options.
Opener Tom Latham, talking ahead of the third test starting from January 3 in Sydney, hoped that Williamson will be available for the third test.
“[Kane] is obviously a great leader amongst this group and he’s passionate about this group so I’m sure if there’s any chance of him playing, even if it is a small chance, he’ll certainly be playing,” Latham was quoted as saying by Cricbuzz.
“It’s gone around the team a little bit which obviously isn’t ideal but fingers crossed, they’re resting up today and hopefully they’ll wake up and be good to go.”
“If we lost those guys it would be disappointing but we’ve got a squad of 15 who are passionate about this team and whatever side we do play has the backing of the whole group that it’s the right team for the job.”
With a chance of New Zealand falling short of players, they have called in Glenn Phillips as a replacement.
“We’ve obviously got a few balls up in the air at the moment and we want to be on the safe side and have options,” head coach Gary Stead said. “Glenn has been in terrific form this season and has good versatility with where he can bat and the roles he can play.”
Phillips, 23, has played 11 T20Is for New Zealand and scored 139 runs.
“He’s been around the BLACKCAPS T20 team for the past couple of years so should feel comfortable in the environment,” Stead said. “We’re still hopeful Henry and Kane will pull through and we will give them every chance to prove their fitness. If one or both are ruled out then we will consider our options and most importantly how they balance the side for this final Test.”