Given the close nature of this tense 12-11 victory, the rust England displayed and their many areas for concern, it was a rather unusual pronouncement of confidence, not least because those in South Africa would argue Owen Farrell was fortunate not to be penalised in the final play.
Trailing by a point with the clock ticking over 80 minutes, the Springboks launched one last attack which was only stopped by a crunching tackle by Farrell on Esterhuizen that resulted in an England turn-over.
Farrell landed a hard kick in the 73rd minute that ultimately decided the Quilter International at Twickenham.
Flyhalf Handre Pollard had the chance to win it for South Africa with another long-range penalty three minutes from time but his effort skimmed off the outside of the post while England's full-time celebrations were briefly halted while the referee consulted the TMO to look at a Farrell tackle.
Jones said: "You can get cited for something you did at a party when you were 15, anything could happen".
South Africa head coach Rassie Erasmus' response to the Farrell incident was laced with sarcasm.
"It was a good tackle, well done, because I haven't seen Andre Esterhuizen being tackled like that in a while". So, less than 12 months out from Japan 2019, beating South Africa, one of the best teams in the world, will be a massive confidence boost for England.
"The most important thing is what we do next".
I was impressed with the way England's back row performed.
Tom Curry is an injury concern after picking up an ankle problem and is set to be assessed ahead of the game while Ben Morgan, who was part of the preparations for South Africa, has not rejoined the squad due to injury.
He added: "We've not really spoken about it but it feels important that we've won to reward the boys for the effort they've put in especially off the field".
"It was a good Test match".
England also having an ill-disciplined start to the game - much like they did in their first test against the Boks at Ellis Park in June - made life easier for the visitors, a situation so dire for the hosts that they had conceded four penalties and Maro Itoje by the 16th minute, the lock having committed three of the fouls.
But the Aussie said there was "enough arm in the tackle".
Farrell, who was yellow carded for a similar hit late in the defeat by Australia that ended England's World Cup hopes in 2015, could still be punished if the citing commissioner deems Saturday's hit worthy of a red card.
The Springboks suffered a setback when lock Eben Etzebeth limped off early in the second half.