"If both sides have the same point of view, they may end their court disputes, sacrificing part of their interests," he told the Lietuvos rytas daily.
It is said that Lithuania's new government may seek to drop claims against Gazprom in exchange for a cut in the price of gas supplied to the country.
Energy Minister Jaroslav Neverovič said, "With the launch of a dialogue with Gazprom, we will seek to negotiate on all issues, including the ongoing arbitration disputes, initiated by both sides."
Kaminskas said that before sitting down to the negotiating table, both the new government and Gazprom are trying to discover each another's weak points.
Vilius Bernatonis, a lawyer representing the state at the Stockholm Arbitration Tribunal, said that he had not heard of the authorities' intentions to abandon the legal battle with Gazprom.
Lithuania announced in October that it was initiating a claim against Gazprom with the Stockholm Arbitration Tribunal, saying that Lithuanian consumers have overpaid 5 billion litas (EUR 1.45b) for Russian natural gas as a result of changes in the gas price formula.
Also, Lithuania has lodged a complaint with the European Commission against Gazprom.