"Russia intends to support the revival of Greece's economy by broadening cooperation in the energy sector," Novak told journalists, quoted by RIA Novosti news agency.
"Accordingly we are studying the possibility of organising direct deliveries of energy resources to Greece, starting shortly."
Novak said that the energy ministry expected "to come to an agreement within a few weeks," but did not specify what type of fuel Russia would supply.
Greece's left-wing leadership has made a show of drawing closer to Moscow in recent months as the spat with its international creditors has grown more ugly.