The dynamic Kriel has been diagnosed with a labrum tear picked up in Saturday's 23-23 draw with Australia in Perth.
The Springbok management have decided against replacing the Lions loose forward in the squad, which will likely see start for Sharks flank Jean-Luc du Preez against the world champions.
It means at least two changes from Bok coach Allister Coetzee from the side that drew with the Wallabies as tighthead prop Coenie Oosthuizen has also been ruled out with a broken arm.
His replacement, uncapped Wilco Louw, joined the squad in Auckland on Monday.
(Reporting By Nick Said; Editing by Amlan Chakraborty)