The All Blacks flew out for the United States on Sunday, still recovering from the intensity of Saturday's 24-17 Steinlager Ultra Low Carb second Test win over England.
Before departing, new coach Scott Robertson said England was 'an incredible opponent' to start his Test career against.
The All Blacks had won the series without having played the way they wanted.
"It's coming. We're training it. We've got to put it on the field now.
"There's no doubt that we...everyone knows it, that we can be way more efficient in parts of our game.
"I'm not sure [assistant coach] Scott Hansen slept all night. He came out of that box and said, 'Yeah, we'll take it, but we've got to be better.' That's our mindset."
Robertson said that while they came through two arm wrestles to win, they had created opportunities but had taken the pressure off and needed to take them in the future.
The lesson he took from the first two Tests was that when opponents apply pressure, getting a win is not always pretty.
"You've got to find a way. You've got to think on your feet and come up with the next plan. You put so much trust in the guys on the field.
"A lot of the messages you send, they don't get in time just because of the nature of the game. The preparation you do sets them up to be the best they possibly can be.
"We learned some lessons. Luckily, we won and learned, not lost and learned."
Beauden Barrett's ability to play first five-eighths or fullback and to start or come off the bench reflected his ability and experience, and his role in the future would be determined by what the selectors felt the Test match ahead required from him.
Robertson said the balance around players who were playing offshore and then returning showed that it could be done well.
"If you can perform like that and you can play the whole 80 [minutes], we'll give him the whole 80. He's come in in great nick. He's a good pro, he feels fresh and the experience for him was great. He cares about this team and he's a hell of a leader."
Will Jordan's return from injury could determine Barrett's future role. He is to play two pre-season games for Tasman to get some match fitness to be available for the first Argentina Test.
