But the U.S. ambassador to the UN said President Donald Trump told her if the Syrian regime uses poisonous gas again, "the United States is locked and loaded" to strike again.
"Even non-significant incidents would lead to new waves of migrants to Europe and to other consequences, which neither we nor our European neighbours need", Lavrov said.
As global chemical weapons experts travelled to Syria to investigate a suspected gas attack by government forces which killed dozens of people, French President Emmanuel Macron spoke to Russia's Vladimir Putin and expressed concern about a worsening situation.
Russian Federation said that the Western powers "cynically" carried out military action hours before a team from the Organisation for the Prohibition of Chemical Weapons was set to begin an investigation into the suspected chemical weapons attack in the town of Douma in Eastern Ghouta that sparked the intervention by the USA and its allies.
The Russian military says that an alleged chemical attack in Syria was staged and directed by Britain.
Later, a White House briefing on a call between Trump and May said that they "continued their discussion of the need for a joint response to Syria's use of chemical weapons".
Trump himself appeared on Thursday to cast doubt on at least the timing of any USA -led military action, tweeting: "Never said when an attack on Syria would take place".
Russian Federation summons Israeli envoy after Syrian airbase attack
The Russians use the T-4 Air Base for their operations in Syria, although most of their activity there was reduced some months ago.
According to a statement by the French presidency, Macron called for dialogue between France and Russian Federation to "continue and intensify" to bring peace and stability to Syria. Putin and Macron instructed their foreign and defense ministers to maintain close contact to "de-escalate the situation", the Kremlin said.
Since Saturday, when images of ashen toddlers struggling for breath emerged after the alleged attack, there has been a sustained military buildup in the eastern Mediterranean.
In April past year Trump ordered Tomahawk strikes on the Shayrat Airbase in response to a similar chemical weapons attack on rebel-held Khan Sheikhoun.
Russian Federation has been a staunch ally of Syrian President Bashar Assad's government and has helped turn the tide of war in his favor since entering the conflict in September 2015.
Apart from Macron's phone conversation with Putin, NATO members Germany and the Netherlands have said they will not take part in any military action.