The Los Angeles Lakers are closing in on their first championship since 2010, but Anthony Davis insisted he is not looking too far ahead following another stellar performance against the Miami Heat in the NBA Finals.

Davis posted 32 points on 15-of-20 shooting from the field as the Lakers defeated the short-handed Heat 124-114 in Game 2 for a commanding 2-0 series lead at Walt Disney World Resort on Friday.

The Lakers star joined Kevin Durant (2012), Michael Jordan (1991), Rick Barry (1967) and Hal Greer (1967) as the only players in NBA Finals history to score 30-plus points in their first two career games in the league's showpiece decider.

Davis – a high-profile recruit from the New Orleans Pelicans at the start of the season – also became the first Lakers player with back-to-back 30-plus point games in the Finals since Kobe Bryant in 2010.

But as the top-seeded Lakers near a first title in a decade, Davis is remaining grounded inside the Orlando bubble.

"It's huge," Davis told reporters when asked how important is it to stay in the moment. "This team [Miami] have shown in both games that they are able to fight back. Even when they are down 20, 30, whatever it is, they are able to fight back and make plays.

"So we can't get too high, especially with this team. They didn't even have two of their top scorers, two of their best players. They always have that next-man-up mentality. They come every night, they play hard, they play physical, they play aggressive.

"We came in tonight and said this is a must-win for us. We're going to come in the next game and say it's a must-win, and the next game it's a must-win and so on and so forth.

"We know what this team is capable of. I think they had four guys or five guys with 15-plus. Guys coming off the bench scoring and playing well. We have to lock in on those guys and show them respect, as well, which we do. But this team can play. We have to be wary of that and make sure we come in and be better in our defensive schemes, which is going to help us win."

Lakers team-mate LeBron James also dominated, finishing with a game-high 33 points, nine rebounds and nine assists.

James and Davis became the first Lakers duo to score at least 32 points in a Finals game since Kobe Bryant – who died in a helicopter crash in January – and Shaquille O'Neal in 2002.

Amid comparisons to Lakers greats Bryant and O'Neal, Davis said: "Those two guys are obviously special. They are a duo that's special together. They are the best duo we've seen. Multiple championships. They both were so dominant.

"I know they had a little sit-down and they were talking about they were arguing because they both wanted to be so dominant, they both wanted to be great and they both wanted to win, and that's why they jelled together outside of everything else that you might have heard that they were going through.

"But you know, those two guys were selfless. They both had a competitive spirit with themselves to will their teams to win. I think me and Bron are the same way.

"We are two guys who want to win no matter the circumstance. We both want to make sure that we do whatever it takes to help our team win. When you have two guys that are selfless ...

"It's not always going to be pretty. Sometimes we are going to argue and have disagreements, but we know it's coming from the right place. When you have two guys who want to win as bad as we do and want to be dominant every single game, you have games like tonight where two guys, we're able to score the basketball and able to rebound and able to find guys.

"It's rare you see it. We know we have something special with us two and this team, and just trying to capitalise on it."