"Twenty-seven have tested positive for meldonium and there are some 127 cases in the world," Mutko told R-Sport news agency. "But these figures can change."
Meldonium was propelled into the headlines earlier this month after Russian tennis star Maria Sharapova announced she had tested positive for the drug at the Australian Open in January.
Since then, a string of high-profile Russian athletes, including Olympic swimmer Yulia Efimova, admitted the drug had been detected in their systems.
The identities of all of the athletes who have tested positive for the drug have not been disclosed.
Russia's scandal-ridden athletics federation -- suspended in November after a WADA independent commission found evidence of state-sponsored doping in Russian track and field -- announced four meldonium cases among its athletes earlier this week.
Moscow has pledged to undertake sweeping reforms to revamp its anti-doping programme in time for its track and field stars to compete at the Rio de Janeiro Olympics in August.
