Miller was in Kiev to talk to Prime Minister Yulia Tymoshenko and other officials about signing a gas supply contract for 2009 and beyond.
"We should be aiming for a long-term contract. I hope that in the course of today's meeting we can discuss the principles of organizing such work," Miller was quoted as telling Tymoshenko, according to a government statement.
With world energy prices on the rise, Gazprom has said that Ukraine's current price of $180 per 1,000 cubic meters could more than double next year to $400.
Ukrainian officials have said such a steep rise could cripple the economy and has instead asked for a phased increase.
Tymoshenko agreed with the need for a long-term agreement. "We are extremely interested in considering each other reliable partners," she was quoted as saying.
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