Curry, who helped Team USA to an opening 110-84 win over Serbia, echoed a sentiment pushed by his Golden State Warriors coach, Steve Kerr.
Ahead of the Games, the USA endured a stern test against Wednesday's opponents earlier this month, narrowly avoiding a huge upset with a 101-100 victory in London.
South Sudan are making their first appearance at the Olympics, and got their campaign up and running with a 90-79 triumph over Puerto Rico.
Despite South Sudan not having any current NBA players on their roster, they have plenty of experience within their ranks.
The likes of Wenyen Gabriel, JT Thor and Marial Shayok all shone in their pre-tournament meeting with the USA, with Curry acknowledging a tough task lies ahead.
"We have appropriate fear," said Curry. "We know we can't just sleepwalk through any game and feel like you're going to win."
While the USA are still the clear favourites to win the encounter at the Stade Pierre Mauroy, head coach Kerr said their previous encounter will be to their advantage this time around.
"They came within one shot of beating us," Kerr said.
"I'm really glad that we played them so we can feel their speed and their 3-point shooting ability and feel how good they are."
"We'll be much better prepared [Wednesday]. But doesn't guarantee anything."
During their pre-tournament encounter, South Sudan scored 14 3-pointers against the Americans, making 10 more against Puerto Rico last time out.
"The exhibition schedule was great because you got to figure out where we need to get better and also feel the force of teams that are coming trying to beat us," Curry said.
"They're a very high-octane offense, spread the floor, shoot a lot of 3s and have athleticism. So you just got to be mindful of how to guard them. It's totally different than Serbia."
Kerr was unhappy with the lacklustre displays from his side in their warm-ups against Germany and South Sudan.
Germany led 71-68 at the end of the third quarter before LeBron James conjured up 11 points in the final four minutes to give the USA a 92-88 win, while South Sudan were 20 seconds away from pulling off one of the biggest shocks in basketball history, before eventually falling to a 101-100 loss.
The USA face a dangerous Serbia side featuring reigning NBA MVP Nikola Jokic on Sunday, and Kerr is adamant that improvements are required if they are to win a fifth consecutive Olympic gold medal.
He said: "It's got to be 40 minutes of force and attention and focus, and we can't let teams outplay us effort and energy-wise like we did the other night against Germany, like we did against South Sudan.
“We have another level. I think we have another two levels that we can get to, but it's a collaboration, always.
"We can show them, 'Let's do this, let's do that. Let's learn personnel.'
"We got to know the shooters, know the non-shooters, all that stuff. So that's where we can help them. Where they can help themselves is just effort and energy play after play, after play. This is different."
Kerr is a four-time NBA champion as a coach, and was part of the triumphant Olympics team in Tokyo in 2021, but the Golden State Warriors boss knows the experience of the Games will only be enhanced if the USA were to come out on top again.
"This should be one of the great experiences of our lives. But the best way to make it an incredible experience is to win a gold medal," he said.
After facing Serbia, the USA will once again go up against South Sudan, this time in a competitive format, before ending the group stage with a match against Puerto Rico.
A star-studded USA side have won all their games in Paris so far, but now the pressure is on in the knockout stage.
Brazil are their quarter-final opponents on Tuesday, and while Curry is confident the USA's attack is good enough to beat any team, he knows each player has to be 100% ready for clutch moments.
"That's how we can overwhelm teams," he said.
"It's just everybody has to be ready for your moment whenever it is."
For coach Steve Kerr, meanwhile, it is a case of the USA sticking to an identity and gameplan.
"It's important to focus on keeping that identity now that you're playing the best teams," Kerr said.
"We know what wins a FIBA game.
"We are just completely focused on our defense and then the beauty of our team and the talent, the depth of our talent is that from one game to the next, we've got lots of guys who have the ability to get rolling."
Team USA won their first two Group C encounters, overcoming Serbia and South Sudan.
They face already-eliminated Puerto Rico on Saturday, and though they are assured of progression to the last eight, there is still plenty on the line for the USA.
Kerr's team must win by more than four points to be sure of clinching the top seed for the knockout stage, which would mean they would be drawn against the lowest-ranked team in the quarter-finals.
"We want the No. 1 seed," Kerr said.
"It gives you the best matchup in the quarter-finals. So if we drop down to two or three – which I think is unlikely, but we've got to take care of our business – we possibly have a much tougher opponent."
Points differential is the primary tie-breaker to settle the seeds in the knockout stage. Canada and Germany both stayed perfect through their group campaigns, with the latter occupying the top seed as it stands with a differential of +43.
"The point differential is a big thing, and so even the first two games we were focusing on not taking our foot off like you do in the NBA sometimes," guard Derrick White added.
"So it's a little different than what we're used to, but that's all part of the tournament."
While Jrue Holiday nurses an injury, Anthony Davis is expected to feature for Team USA, while Kevin Durant is embracing his role as a super-sub.
"It's basketball," said veteran Durant.
"It really doesn't matter who starts. It's about really who finished the game, who put their impact on the game while they're in the game.
"So I just try to do my best to impact it any way I can."
Should the USA claim the top seed, they could go up against Giannis Antetokounmpo's Greece, who beat Australia to finish ahead of Spain in Group C.
Greece have to wait on the result of Serbia v South Sudan in order to see if they will qualify.
The USA played their final warm-up game ahead of the Games, with LeBron James starring as they beat Germany 92-88 in London on Monday to make it five wins on the bounce.
However, Durant has not played in any of those five pre-Olympic games due to a right calf injury he sustained while training last month.
Despite stepping up his training in the last week, he is still a doubt for their opener against Serbia on Sunday.
Kerr has until Saturday to finalise his roster for the Games, and insisted he would not be calling up a replacement for Durant, who he hopes will get to train with the rest of the team when they travel to Paris.
"There's no thought of replacing Kevin," Kerr said. "I was hoping he would get a game in here, but it just didn't work out that way.
"When he missed time, he came right back - and he is who he is.
"He's one of the most skilled players of all time. So, we hope he comes back soon, and I think he'll fit right in."
The USA are aiming to win a fifth consecutive gold medal at this year's Olympics, and will also face South Sudan and Puerto Rico in Group C.
Embiid and Davis have both been suffering from illness in recent days while Durant – Team USA's all-time record points scorer at the Olympics – missed their five warm-up games with a calf injury.
As the United States prepare to take on NBA MVP Nikola Jokic in their opening Group C game, coach Steve Kerr will give his stars every chance to prove their fitness.
"I'm confident we'll have everybody ready," Kerr said on Saturday.
Asked specifically about Durant's condition, Kerr added: "Hopefully he'll play.
"He came through the scrimmage two days ago pretty well, and we'll have another practice today and just keep taking it day by day."
The USA did beat Serbia 105-79 in an exhibition game in Abu Dhabi earlier this month, also overcoming Jokic and company in the gold medal match at Rio 2016.
The Denver Nuggets star averaged 26.4 points through 79 regular season games in 2023-24, only managing more in his second MVP campaign in 2021-22 (27.1).
Los Angeles Lakers forward Davis is wary of the threat he will pose to the USA's chances of starting with a win, as they target a fifth straight gold in the men's basketball competition.
"Jokic, with what he's able to do, obviously we know what he does in the NBA, but maybe he'll get a little bit higher usage in the international game," Davis said. "It's going to be fun."
The NBA's all-time leading scorer LeBron James, who helped his country win gold at Beijing 2008 and London 2012, is aware a fast start to their campaign could make all the difference.
"This is not like the NBA, where it's a marathon," James said. "This is a sprint.
"This is a Michael Johnson or Usain Bolt-type game. The real thing starts tomorrow, so we need to be ready to go, which we will be."
USA Basketball announced the appointment on Monday, with Kerr replacing San Antonio Spurs coach Gregg Popovich at the helm. Kerr had been Popovich's assistant on the national team since 2017.
Popovich – a five-time NBA champion with the Spurs – led the US to glory at this year's Tokyo Games, their fourth consecutive Olympic gold.
The team will have a similarly impressive staff moving forward, with Kerr in charge having won the NBA title five times as a player and on three occasions as coach of the Golden State Warriors.
The Warriors stood 24-6 for this year ahead of a Monday night game with the Sacramento Kings, as they make another run at the championship. They have improved Kerr's career win percentage to 69.3 – the third-best mark in NBA history. Among coaches with three wins or more, Popovich (66.3 per cent) ranks eighth.
Kerr will be supported by Gonzaga coach Mark Few, the Miami Heat's Erik Spoelstra and the Phoenix Suns' Monty Williams.
"I'm incredibly honoured and humbled to represent our country as the head coach for the USA Basketball men's national team," Kerr said in a statement. "It's a thrilling opportunity and I'm excited for the challenge."
Assuming the US qualify, Kerr will be in charge for the 2023 FIBA Basketball World Cup and the 2024 Olympics in Paris.
Team USA stayed perfect by beating Puerto Rico 104-83 on Saturday, ensuring they sealed the top seed for the last eight.
That means the four-time reigning Olympic champions will take on the seventh seed, Brazil, for a place in the semi-finals.
Anthony Edwards led the USA with 26 points, while Joel Embiid chipped in with 15 and Kevin Durant delivered another fine substitute performance, scoring 11 points from the bench.
And while the USA have tallied up 317 points in their three wins so far, Kerr believes there is much more to come.
"I think we got done what we wanted to accomplish, winning all three games and securing the top seed," said Kerr.
"We know we have to play better. Part of this tournament is it gets harder as you go."
LeBron James added 10 points for the star-studded USA, and he knows it is now do-or-die.
"We know it's going to be difficult, it's going to be challenging," he said. "We better be ready to go."
In Group C's other game, Nikola Jokic scored 22 points and finished with 13 rebounds, while Bogdan Bogdanovic had 28 points, as Serbia saw off South Sudan 96-85.
While Serbia clinched the fourth seed to set up a meeting with Australia, South Sudan's inaugural Olympics campaign is over, with Greece scraping in as one of the two best third-placed teams.
Giannis Antetokounmpo's team will take on second seed Germany, who like the USA, won their three group games.
