Richie McCaw suffered a new injury during the All Blacks game on September 7th and will still not be ready to face Argentina next week.
The 32-year-old forward was in the gym to train on Monday and could well be fighting fit to take part in what is expected to a winner-takes-all match in Cape Town.
The All Blacks were too strong for South Africa in Aukland winning 27-15 to remain unbeaten in the tournament and are now four points clear of the Springboks with just two games to play.
The All Blacks assistant coach Ian Foster told reporters: "Richie is progressing a little bit quicker than we expected which is why he's here. There's a bit more ground to cover.
"This week is important for him to carry on that progress. The signs are really positive. He's certainly in a good space.
"Having a positive attitude towards your rehab is vital but that's something shared by all our boys. He's done everything right and I know he's very determined to come back and contribute on the park. That's certainly helped things."
McCaw has been capped 119 times by his country and recently returned from a sabbatical designed to prolong his career at the top of the game - meaning he missed the whole Super Rugby season.
New Zealand won the competition in its first season last as Argentina were added to the competition - the All Blacks won the previously named Tri Nations nine times.
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