On Sunday, midfielder Williams was rumoured to be heading home from Japan with a calf injury, but those rumours were quickly shut down by the All Blacks.
Former rugby reporter Hamish McKay told Radio Sport Williams would be replaced by Manawatu Turbos midfielder Ngani Laumape.
But sources told Newshub that Laumape had not received a call from All Blacks management to join the squad.
All Blacks assistant coach Ian Foster said Williams was carrying an injury, but the team was doing a good job managing it.
"Is he going home?" said Foster. "No.