Asked whether Israel should be less wary of possible flare-ups on the Golan - much of which it seized from Syria in a 1967 war and annexed in a move not recognised overseas - Lieberman said: "I believe so".
Iran has supported Syrian President Bashar al-Assad with weapons, cash and manpower, and Israel has carried out strikes on Iranian military assets in Syria.
"As the situation stabilizes, these posts will be handed over to Syrian government forces", Rudskoy told reporters.
Israel's military said Thursday it killed seven suspected Islamic State-affiliated militants in territory it controls near the border with Syria, reflecting the risk of spillover as the Assad regime presses a military campaign to retake the country's southwest.
In a separate development, according to media reports, Russian Federation is planning to deploy military police on the Golan Heights frontier between Syria and Israel and set up eight observation posts.
The UN peacekeeping forces first deployed along the frontier in 1974 to separate Syrian and Israeli forces after Israel occupied the Golan Heights in the 1967 war.More news: Carr Fire: What we know Thursday
Col. -Gen. Sergei Rudskoy of the Russian Military General Staff speaks to the media as a screen shows the map of Israel, Jordan, Syria and Li bacon including Israeli-occupied Golan Heights in Syria in Moscow, Russia, Thursday, Aug. 2, 2018.
He named them as a strict observance of a 1974 armistice with Syria, not allowing Iran to use Syria as a front against Israel and not allowing Syria to be used as a transit point for advanced arms deliveries to Hezbollah. On Thursday, Russia's defense ministry announced a joint operation with United Nations peacekeepers to keep watch over the Golan Heights region.
He declined to say specifically where they were located, but said it was in the southern Golan, near the Jordanian border.
The Tel Aviv regime, at the time, claimed that its assault was in response to a barrage of 20 rockets fired from Syria at Israeli military outposts in Golan. An initial assessment by Israel's military identified the gunmen as Islamic State militants, in what would mark a rare attempt by the Islamist militants to infiltrate Israel.
Assad told his troops on Wednesday they were close to victory after inflicting a succession of defeats on fighters.