Putin was speaking at an awards ceremony for medallists from the 2022 Beijing Winter Olympics at the Kremlin.
The 15-year-old's gold medal and Games future now hangs in the balance as the International Olympic Committee attempts to draw a line in the sand over Russian doping.
Madison Hubbell and Zachary Donohue took the top spot for the United States in the team event's rhythm dance at the Beijing Winter Games.
The sources said Sotskova had tested positive for a substance on WADA's prohibited list before providing a forged document to explain its presence in her sample. They did not name the substance.
She is the second Australian Winter Olympian to die suddenly this month after snowboarder Alex Pullin drowned while spear fishing off a Gold Coast beach on July 8.
The 17-year-old told Russian TV programme Vremya that she would not take part in the national championships later this month, which will make her ineligible for the European and World Championships early next year.