A 15-6 win over Georgia in Invercargill secured a fifth successive victory and took Scotland to nine points from two games following last Saturday's 34-24 bonus-point defeat of Romania.
Following two games in five days, Argentina are Scotland's next Pool B opposition on September 25 before the Auckland bout with England on October 1.
Having been at the tournament's southern-most destination for a week following their arrival from a training camp on Australia's Gold Coast, Scotland are now happy to bide their time in New Zealand's capital ahead of the clash with the Pumas.
While some teams have opted for distractions between matches - some of England's players have been seen bungee jumping in Queenstown - Scotland will remain focused on rugby.
After arriving in Wellington, Scotland flanker Alastair Strokosch said: "It was quite quiet down in Invercargill. We felt a wee bit away from it there.
"It will be good to be here and soak up a bit of the atmosphere."
Scotland achieved their target of nine points from their opening two games - although head coach Andy Robinson confessed "we probably made them tougher than they should have been".
Gloucester flanker Strokosch, who put in a sterling performance against Georgia's fierce pack, added: "We got the job done. We wanted nine points out of the first two games and we got them."
Strokosch anticipates another difficult test against the Pumas.
Asked how Argentina compare to Georgia, he added: "Similar in terms of physicality, but more difficult - Argentina have played at the highest level and know what it takes."
Indeed, Argentina finished third at the 2007 World Cup and are second seeds in Pool B behind England.
Scotland, though, are currently ranked seventh in the world - the Pumas are ninth - and have won three of the last four matches between the sides.
Scotland recorded a first southern hemisphere series success in Argentina in 2010, with Strokosch appearing in each match.
The 28-year-old added: "We've played them quite a lot recently and had some success against them.
"They're very dangerous, though. They've got a great pack - everyone knows about that - but they can also attack in the backs as well.
"They're fearless in contact, in the tackle and it will be a huge challenge."
The challenge is to claim a sixth straight win and maintain Scotland's record of qualifying from the pool phase at every World Cup since the inaugural tournament in 1987.
Robinson said: "Our focus now has to turn on to Argentina and understanding what a huge Test match it's going to be.
"We know that if we go and win the game we qualify from the group.
"That's our mentality - to go out there and win the game.
"It's a good run-in to the Argentina game. We'll be training hard and also give the guys space to have some time off."
Strokosch was among the players whose performance against Georgia gave Robinson plenty to ponder over selection for the Argentina match.
Tighthead prop Euan Murray was immense, but is unlikely to feature as it is against his religious belief to play on a Sunday.
Jim Hamilton and Nathan Hines were strong in the second row, meaning squad captain Alastair Kellock may be concerned for his place, while Strokosch's back-row colleagues Ross Rennie and Kelly Brown also performed well.
Robinson is happy with the performance of his squad in the opening two games, while fully aware of the challenge posed by Argentina.
He added: "There's a depth in the squad. The 30 players that we have are very much similar players, in terms of the standard.
"I think that's helped - we can interchange players and have the same consistency of performance.
"I really enjoy Scotland-Argentina games. I have full respect for Santiago Phelan as a person and a coach and I like the Argentinian players.
"They're a tough team and a very proud nation."
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