The Grand Slam champions scored a record number of points against the Wallabies and equalled their biggest victory Down Under to ensure they head to Melbourne with a 1-0 lead.
Australia entered the match as favourites and built a 10-0 lead inside the opening 15 minutes but England’s fightback turned the Suncorp Stadium showdown on its head.
“All we have done is given ourselves one more game in the series. Melbourne is the most important game now,” he said.
“We have made history today but it’s not good enough for us - it’s all about next week.
“We didn’t play well. We’re obviously happy with the result but we can improve significantly.
“We can’t get too excited, but the great thing about it is that if you have a three-Test series and you’re in it in the second Test, you’re pretty excited.
“There’s a lot of expectation about the Wallaby team. They’re the second-best team in the world and they’ve got the world’s best coach (Michael Cheika) and the expectation is high for them, so the pressure is on them next week.
“We need to make sure we have good focus. The Australians will come at us left right and centre.”
Jones took the unusual step of replacing inside centre Luther Burrell during the first half with George Ford coming on at fly-half and Owen Farrell filling the vacancy at 12.
Burrell’s defence had been exposed on one occasion and the tactical shift proved a masterstroke as Ford was superb and set up two tries.
“We just needed to change the game. There are just times you do things through a gut feeling. If you change the game, you change personnel,” Jones said.
“It is all about the players making good decisions on the field and they did that. Our execution at times was really good.
“George coming on just gave us more variety to our game. George and Owen have played together a lot and we just needed some control back in our game because we didn’t have that in the first 29 minutes.”
Among England’s star performers was openside flanker James Haskell, who set the tone for Jones’ ‘bodyline’ rugby with a thunderous early hit on David Pocock.
“James was outstanding, really outstanding. He was physically good. Pocock is a special player but Haskell did some things defensively that gave us momentum in the game,” Jones said.
Australia coach Cheika admitted England were the better team.
“There’s another Test match next weekend. This was our first game for seven months and we knew there would be things we wouldn’t get right,” Cheika said.
“We’ve now got a better handle on what we need to do to get better.
“All credit to England, they played well and deserved the win. There’s no doubt about that.”