Scotland, who lost 51-22 to New Zealand in Sunday's EMC Test at Murrayfield, are currently ninth in the International Rugby Board world rankings, in the third pot for the 2015 World Cup draw.
It means Robinson's men must beat South Africa and Tonga to have any hope of a place in the second pot ahead of the December 3 draw.
Two years ago Scotland responded from a 49-3 loss to the All Blacks to beat then world champions South Africa and a similar response is required ahead of Saturday's clash with the Springboks.
"We've got some work to do for next week," Robinson said.
"We've got a team (South Africa) that's going to be coming route one at us, a lot of mauling and a lot of kicking the ball in the air. It's a different challenge than this week.
"We've got to show the spirit of 2010, when we were in this position and we corrected it the following week. That's what we'll be looking at.
"We've got six days, but I've got a lot of confidence in the players that we'll be able to turn this around for next week."
Scotland captain Kelly Brown said: "We don't really have much of a choice.
"It's up to us now to fight back and we've got six days in which to do it."
Scotland were seeking a first win over New Zealand at the 29th attempt and made a strong start, only for three converted tries in a 10-minute spell late in the first half to effectively end the game as a contest.
Holland-born Edinburgh wing Tim Visser scored a try in each half and Geoff Cross also went over for the hosts, for whom Greig Laidlaw kicked seven points, but the All Blacks scored six tries.
Now the world champions face Italy, Wales and England as they bid to finish the calendar year unbeaten.
But the tour may continue without Adam Thomson, who was sin-binned for stamping on Alasdair Strokosch's head.
Irish citing commissioner Murray Whyte informed Robinson after the game that he will assess the incident over the next 48 hours.
Robinson responded in the affirmative when asked if a boot to the head should result in a red card, but Strokosch was happy with the sanction imposed.
New Zealand head coach Steve Hansen said: "Someone will look at the game and they'll make a decision if what he did was with malicious intent or reckless. I suggest probably reckless and from there it will take its course."
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