Kaspi, which previously aimed to raise between $500 million (392 million pounds) and $700 million (549 million pounds) from the London share sale it abandoned last year, declined to comment on Thursday.
A source close to the Kazakh firm said Kaspi, which controls the third largest bank in Kazakhstan where it is a leader in payment systems and e-commerce, may want to capitalise on the deal announced this week by Russian technology firm Yandex, which plans to take over online bank Tinkoff for $5.5 billion.
This would set a valuation benchmark for digital banks in countries in the former Soviet Union and Kaspi could proceed with its listing once the deal was finalised, the source said.
Kaspi will stress that its e-commerce business has been a big winner from the COVID-19 pandemic, a second source said.
This month, Kaspi said that its net income rose by 50% year on year in January-June to 115.6 billion tenge ($272 million) on higher revenue and margins.
Yandex offer values Tinkoff at 10.5 times earnings and 2.9 times book value, Refinitiv data shows.
A third source said Kaspi, whose popular mobile app has made it a household name in the oil-rich Central Asian nation of 19 million, could press ahead with the listing in the coming weeks.
The second source said the listing could be announced in the coming days with the aim to get it done before November's presidential election in the United States.
Citigroup and Morgan Stanley are among the banks involved in the deal, the second source said. Morgan Stanley declined to comment and Citigroup did not respond to a request for comment.
Commenting on the Yandex-Tinkoff deal, Kaspi said it owed its success to its strategy "which combines everyday payments, e-commerce and digital finance services" in its app.
"This Ecosystem approach is now being replicated by leading internet businesses around the world and it's no surprise to us therefore that Russia's best technology companies are attempting to replicate something similar themselves," Kaspi.kz said.
In its listing announcement last year, Kaspi said the selling shareholders would include Baring Vostok funds, Goldman Sachs, Kaspi.kz board chairman Vyacheslav Kim, and its chief executive Mikheil Lomtadze.
By Tatiana Voronova and Abhinav Ramnarayan