"We will not do that," Jeremic said in an interview with Austrian newspaper Die Presse.
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Russia is a long-time Serbian ally and used its veto in the U.N. Security Council to try to block Kosovo's independence which has the backing of the United States and European powers.
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Moscow recognized the separatist regions of South Ossetia and Abkhazia as independent states after its brief war with Georgia last month despite protests from Georgia and the West.
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"We are happy about Moscow's help on the Kosovo issue," Jeremic said. "But that is about protecting our national interests. We are not part of a Russian policy."
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Jeremic also called on the European Union to "unfreeze" the process of Serbia joining the bloc and reward Serbians for electing pro-EU leaders. Visa rules should be eased, he said.
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"It's very important to take advantage of the momentum of EU enthusiasm in Serbia," he told Die Presse.
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"And the EU must at long last liberalize the visa system. People in Serbia must feel directly that the pro-European path is paying off and they are welcome in the union."