The total number of cases reached 58,374 in the country of 10.7 million, which has been experiencing a surge of infections in recent weeks after relaxing most anti-epidemic measures in the summer.
The deal is one of several agreed by the Russian Direct Investment Fund (RDIF) in recent weeks to supply the vaccine, which is currently being tested in a large-scale trial in Moscow, abroad.
In a bulletin, the ministry said total confirmed cases in the Philippines have reached 299,361, the highest in Southeast Asia, while deaths have increased to 5,196.
Russia has the world's fourth-highest case total, behind the United States, India and Brazil, and the 12th highest death toll according to the official figures.
"We announced that we will co-operate in two-three areas. That includes joint production with Russia. Iran has great potential to produce the vaccine," Jalali was quoted as saying.
Saudi Arabia this month partially lifted a suspension on international flights that had been enforced since March to curb the spread of the novel coronavirus.
India, with a population of about 1.4 billion, has been consistently reporting the world's highest daily tallies of infections.