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Lavrov, a firm supporter of Bashar al-Assad's regime, said a cessation of hostilities in Aleppo could be announced shortly.
"I am hoping that in the near future, maybe even in the next few hours such a decision will be announced," Lavrov told reporters after talks with UN envoy Staffan de Mistura.
Russia and the US will report on violations of the ceasefires in Syria through a joint monitoring centre.
Ceasefires had been announced in Eastern Ghouta, near Damascus city and Latakia, but Aleppo – which has suffered from ferocious regime assault – was left out of the truce.
Earlier, the Syrian regime said it would extend the ceasefire in eastern Ghouta by another 24 hours, despite reports of a build-up of Hizballah and pro-Damascus troops in the vicitinty.
Meanwhile, an infra-rebel conflict has broken out in the Damascus suburbs which is part of the ceasefire between members of Jaish al-Islam and al-Nusra Front affiliated militias.
Syria's larger two-month ceasefire has all but ended, while talks between the UN, US and Russia have taken place in a bid to find an end to the war.
Germany has also offered to hold talks to help bolster prospects of an eventual peace deal.
"[It will be for] how the conditions for a continuation of the peace talks in Geneva can be met, as well as how a reduction of violence and an improvement in the humanitarian situation in Syria can be achieved," the German foreign ministry said in a statement.
The Syrian opposition are sceptical about US-Russian plans, particularly as Moscow has taken a leading role in bombing of rebel areas in Aleppo.
Washington has also offered little more than mild condemnation of the most recent regime assault on Syria's second city.
Bombing and shelling has continued over the past two days, but markedly down since last week's air raids which killed dozens each day and destroyed two hospitals.