"We have agreed that the next trilateral meeting may take place as early as next week," Miller told reporters, following the talks between Russian Energy Minister Alexander Novak and Vice President of the European Commission Maros Sefcovic in Vienna.
According to Miller, the trilateral protocol stipulates that Ukraine will use $500 million of money it borrows from European institutions to buy natural gas from Russia.
"The protocol [on gas supply from Russia to Ukraine, agreed on Friday in Vienna] is a very important and the first step. In frames of the protocol a mechanism to continue consultations between the sides and the EC's job to provide funding. Therefore we will be glad if this agreement will be signed soon," he added.
Sefcovic later said that the sides had achieved great progress during the talks.
Ukraine ceased all purchases of gas from Russian energy company Gazprom after Kiev and Moscow were unable to reach an agreement on gas deliveries for the third quarter of 2015 despite a Russian proposal for a new gas price discount.
In August, Ukraine, which has been suffering from the economic crisis caused by an armed conflict between government forces and the militias in the country's southeast, announced that it expected to receive a loan for winter gas supplies by the end of October.
Currently, Ukraine receives reverse gas flows from Slovakia, Hungary and Poland.