'We lost two games on the trot [against Argentina and Australia].
The victory came after Erasmus' team lost back-to-back Tests against Argentina and Australia recently, which left the Boks and their coach under huge pressure going into yesterday's game.
"And we could have lost this game at the last minute, it could have gone totally against us".
'Our big thing was - and all respect to New Zealand - when we started the planning we said one way of coming back [from a couple of poor seasons] was beating New Zealand in New Zealand and that was months ago.
The Boks came back stronger from the break as they further increased their lead to 14 points through substitute Cheslin Kolbe who touched down for his first global try after he came on for Lukhanyo Am.
New Zealand opened the scoring after five minutes when Jordie Barrett touched down after he got a pop pass from his brother Beauden following an attacking lineout that caught the South African defence napping.More news: Regional Pot Workers Could Face Lifetime Ban From US News Centre News
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However, Erasmus was keen to remind everyone of the reality of where the Springboks are in the world rankings.
"We will not get ahead of ourselves". This is one win against the world's best team, with a bit of luck. We'll enjoy it but if we ranked two or three we could say we were close to getting there, but we're far off. We are definitely not where we want to be and the players and I know it.
"We're obviously disappointed and there are areas we have to work on".
"If you look at the past two Tests where we lost to Argentina and Australia‚ we had many chances and did not capitalise on majority". We scored tries from nothing and had to defend for what felt like hours.
Of course, there are plenty more games to play before Ireland welcome New Zealand to the Aviva Stadium in Dublin on 17 November but it adds yet another interesting narrative to what should be a superb fixture between the two best teams in the world.