Lakai started last week's Test against Scotland, while Proctor came off the bench as the All Blacks stormed home in the final quarter.
Lakai said some positives came out of their performance in Edinburgh, but also some work-ons and their focus was to get better every day and build from the Scotland Test.
"We know how good England are, especially their backrow which has been the heartbeat of their team. We're focusing on us and looking to get better every day."
Having overcome injury disappointments that forced him to miss the home series against France, Lakai said he had been waiting for his opportunities to come, and when they did, he was concentrating on making the most of them.
Proctor said the progress the All Blacks have made during the year has been evident in the Tests against Ireland and Scotland.
"If you look at the Chicago game, the back end of that, you can see the damage we can do when we execute the options that are there for us. It's our ability to do that more consistently or more often. But we're creating opportunities.
"It's the ability to see them and execute them which the boys have been getting right in parts of our game."
England will present another challenge.
"They're up there with the best, and Twickenham is a place where they pride themselves on an atmosphere where the crowd gets behind them. We understand the task at hand this week. We're starting to build into it, and we're looking forward to it.
"They back themselves in the air. They're a team that likes to bring a lot of line speed and put our skills under pressure, and they have a lot of athletes on their team who can work magic with the ball. We're well aware of the threat that they bring.
"As the week goes by, we are going find our areas where we're going to attack them and areas where they think they're going to be good and where we can contain them and put them under pressure as well."
All Blacks coach Scott Robertson said, "If you look at the recent history of our English Test matches, they've always come down to small margins at the end of games, and that was the case against Scotland.
"There were big momentum swings and we fought our way back. I was pleased with the calmness of the leaders and the ability to take moments and execute."
Having benefited from the performance of their bench, Robertson said the All Blacks viewed their side as a 23-man team out of a 36-man squad.
"It's a 36 to get yourself ready for the week, the whole squad, and then it's the 23 on the game day. Who's starting, who's finishing is just as important."
He cited former hooker Keven Mealamu as a prime example of a player who accepted his role of doing whatever was best for the team.
England has utilised its bench as a weapon over the last two years, and its players have been powerful, quick, and have elevated the side's tempo.
He also expects another aerial contest.
"In the northern hemisphere, you're going to get that. The last couple of games we've had it, it's going to keep coming.
"It's part of the game."
The All Blacks had won enough of the high balls in recent games, but they want more. Like other areas of contest in the game, it is something they focus on in their preparation.
"They can play as well. They can shift the ball, and they've got some great power and finishers.
Robertson said at the tail end of their season, it was a case of managing the side through their training and the mental and physical loads associated with that in the midst of their last Test matches. It helped that their accommodation in London allowed them to walk off the back deck of the hotel onto their training ground.
All Blacks v England kicks off at 4.10am NZT on Sunday 16 November. Find out how to watch around the world HERE.
