FIBA, the world basketball federation, initially said before the game that Jackson was on course to break the all-time scoring record.
But FIBA later corrected the information, saying it had overlooked former Brazil player Janeth Arcain and that Jackson had not broken the scoring mark - yet.
"Regarding the question of Lauren Jackson becoming the all-time women's Olympic scoring record holder during Australia's game with Brazil, FIBA can confirm that there was a duplicate of the Brazilian former player Janeth Arcain in FIBA's database.
"Accordingly, Janeth Arcain Olympic points total is 535, making her the current all-time women's Olympic scoring record holder. She leads Lauren Jackson, currently second with 497 points," FIBA said.
Jackson needed just 10 points entering the game to pass her one-time American rival, who had 488 points while leading the U.S. to four consecutive gold medals from 1996-2008. The London Games are the fourth Olympics for Jackson, who was on three Australian sides beaten for the gold medal by Leslie-led Americans.
Jackson passed Leslie by hitting a free throw with 53 seconds left in the third quarter which gave Australia a 51-40 lead. Brazil couldn't get within four the rest of the way in losing its third game in a row.
Australia was coming off a 74-70 overtime loss to France - its first defeat in the Olympics to a team other than the United States since the 1996 Atlanta Games.
Karla Costa scored 22 points and Erika de Souza added 11 before fouling out to lead Brazil, which used to be a consistent medal contender, winning a silver in 1996 and bronze in 2000. The Brazilians finished fourth in 2004 and 11th in 2008.
They could still qualify for the quarterfinals with victories in their final two games over Canada and Britain.
"We all need to take a shower and try to think of what comes next," Costa said. "We finally played our best. We wanted to be first then we wanted to be second, then third and now we want to be fourth.
"As long as there's a chance we'll fight for that."
The United States made sure of advancing by beating Turkey 89-58 to stay on course for a fifth straight gold medal.
The Turks entered the game unbeaten and were expected to give the Americans their toughest test in the Olympics so far.
Turkey was able to hang with the U.S. early in the game and had a one-point lead in the first quarter. But the Americans built a 15-point advantage by the half.
Emilie Goubis scored 16 points and Isabelle Yacoubou added eight of her 14 in the fourth quarter to help France beat Canada.
France made all 10 of its free throws in the final 1:27, including six by Celine Dumerc.
Shona Thorburn scored 17 points and Natalia Achonwa added 14 for Canada (1-2).
Ma Zengyu and Chen Nan each scored 15 points for China, which scored 22 of the first 26 in the quarter after leading only by two at the half.
Russia's Ilona Korstin scored five straight points late in the game to hold off Britain, which closed the gap to three - 61-58 - with 56 seconds to play after its captain Johannah Leedham made one of two free throws.
But Korstin hit three of four free throws and nailed a jumper in between to secure Russia's unexpectedly close win over the Olympic newcomer in Group B.
Belyakova nailed three 3-pointers and Anna Petrakova added two as Russia made seven from beyond the arc in the second quarter to lead 39-27 at halftime.
AP Basketball Writer Doug Feinberg contributed to this report.