The Kiwis won't be able to draw on a replacement for injured centre Gerard Beale and will have to make do with the initial squad they named for the remainder of the World Cup.
Beale broke his tibia and fibula in Saturday night's win over Samoa at Mt Smart Stadium and had surgery to repair his leg on Sunday.
The new Warriors recruit will miss the rest of the tournament and is expected to be recovering for up to six months, which will eat into the start of the 2018 NRL season.
Cup rules state the 24-man squads named at the start of the tournament are the final list of players that coaches can select from. The only way an extra player can be brought in is if organisers make an exemption under exceptional circumstances where teams have no other clear options in a certain position.
The Kiwis will have to use Peta Hiku or Dean Whare in the centre when they name the side to face Scotland later today.