"We are ready to also support patriotic opposition, including the so-called Free Syrian Army, from the air," Lavrov said in an interview with Rossiya 1 television channel.
"The main thing for us is to approach the people fully in charge of representing these or those armed groups fighting terrorism among other things," he said, according to a transcript released by the state-controlled channel.
Lavrov's comments came after he and his US counterpart John Kerry agreed in Vienna yesterday to explore new ways of trying to reach political settlement to a crisis that has killed more than 250,000 people since 2011.
Russia's position appears to be shifting, with Moscow saying it is prepared to give military and political support to the moderate anti-Assad opposition in its fight against Islamic State jihadists.
Moscow, in talking about the Syrian opposition, had previously reserved the term "patriotic" or "healthy" for those groups that backed Assad against the rebels.
On Tuesday, Russian President Vladimir Putin stunned the world by hosting Assad for surprise talks at the Kremlin, the Syrian leader's first known foreign visit since the outbreak of unrest.
"I asked him: what do you think if we find armed Syrian opposition which is ready to oppose and truly fight terrorists, the IS," Putin told the Valdai Club of political analysts and journalists in Sochi.
"What would you think if we support their efforts in the fight against terrorists in the same way we are supporting the Syrian army?"
"He replied: 'I would view this positively.'"
"We are now thinking about this and trying to implement these agreements, if it works out," Putin added.
