Both sides are one and one in the competition, with the All Blacks one point ahead due to a bonus point.
However, South Africa, the defending champions, have plenty of motivation, not least in ending the All Blacks' 50-game unbeaten streak since 1994 at their Auckland fortress.
Springboks coach Rassie Erasmus said the side's arrival, "We travelled well, and although it is a long trip to New Zealand, we are excited to be here and we are looking forward to the challenge ahead.
"It's always tough playing here, but the group is in good spirits, and we are fully aware of the magnitude of the task ahead."
The two Tests against New Zealand, at Eden Park next weekend and in Wellington a week later, shape up as a decisive fortnight in the Championship.
"With all four teams in the Rugby Championship having won one match so far, and the standings very tight, there's no doubt that the next two games will be crucial in our campaign.
"The time zone and conditions are very different from back home, so it's we settle in quickly to be sharp at training and ready to be at our best by the time we face the All Blacks next weekend."
The Springboks have adjusted their training schedule to facilitate quick recovery from the effects of travel.
"We've worked out our training schedule in a way that allows the players to recover, while steadily getting into the swing of things for the next two matches.
"So, we will have only two training sessions this week and then go full throttle into normal Test match mode from Monday."
Critics in South Africa have been concerned with the world champions' performances against Australia.
Gavin Rich in Business Day believes the rotation theory in selection could be undermining the Springboks' quest for momentum.
"My overriding impression of the Boks in their sloppy 30-22 win was that they are either a team that has too many players who are getting a bit long in the tooth, or they are a team that is showing the effects of not having continuity in selection.
"Both could explain the slow reaction time on defence."
Rich said that while intense training might help the players with their physical preparation, the lack of time playing together was a hindrance to developing continuity in their combinations.
"Though they won, the world champions were far from convincing. There was greater balance to their game, and the conditions dictated that they kick a lot more than they did in Johannesburg. But the lineouts were again a little suspect, the defence was even worse, with 30 tackles missed and about half a dozen clean linebreaks conceded.
"On a drier field those breaks could have led to the kind of try-scoring spree with which the Wallabies stunned the Boks at Ellis Park."
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