"The Syrian sides will have to agree on a new constitution, on how they see the structures needed to ensure a steady transition to a new system," Lavrov told a news briefing.
"There is an understanding already that a new constitution should emerge as a result of this political process, on the basis of which new, early elections are to be held," he added, Reuters reported.
"But before this happens, one should avoid any legal vacuum ... These elections held today are designed to play this role of not allowing a legal vacuum."
Parliamentary elections began in in Syrian on Wednesday. Over 7,000 polling stations opened across the county earlier in the day. Over 3,500 candidates are contesting the 350 seats in Syria's parliament.