"I can not speak about the price now, all details will be agreed with Gazprom," Vucic told reporters. Vucic said that Serbia he had agreed with Putin that the price of gas would be linked to the oil price, but did not elaborate.
Serbia's 10-year gas supply contract with Gazprom expires on May 31.
Vucic also said that he had discussed with Putin expansion of gas storage space in the Balkan country.
"Putin said to call him if I feel there is anything more to be discussed," said Vucic, Putin's closest ally in Europe.
Serbia, which aims to join the European Union, has come under pressure recently from Western countries to align its foreign policy with the bloc and impose sanctions on Russia.
In 2008 the Balkan country put its gas and oil sectors in the hands of Russian companies. Gazprom Neft and Gazprom together hold a majority stake in the country's sole oil company while Gazprom is majority shareholder in the country's sole gas storage facility.
(Reporting by Ivana Sekularac; Editing by Emelia Sithole-Matarise)