Tillerson is due in the Austrian capital for the 57- member Organization for Security and Cooperation in Europe's 24th Ministerial Council on December 7 and 8.
According to a senior official in Washington, speaking on condition of anonymity, Tillerson and Lavrov could stage their bilateral US-Russia meeting on Thursday.
Relations between Washington and Moscow are tense, amid disagreements over Russia's interventions in Ukraine and Syria and alleged illegal interference in US and European elections.
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