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.
Lieberman said Israel will have "no cause to intervene or operate in Syrian territory" if Damascus respects a 1974 disengagement agreement between the two sides - and as long as Syria doesn't become a staging ground for Iranian forces to attack Israel or transfer arms to Hezbollah in Lebanon.
Russian media said that Russia would soon deploy forces along the border to keep the warring factions from provoking Israel.
Russian Federation announced Thursday that it would deploy military police and place monitoring posts on the Golan Heights to prevent further confrontations.
Isreali soldiers patrol the ceasefire line between Israel and Syria, as seen from the Israeli-occupied Golan Heights, July 26, 2018.
He said the Russian presence there was temporary, and that the observation posts would be handed over to Syrian government forces once the situation stabilized.
A series of blistering offensives backed by Moscow and Tehran has forced the rebels out of many of their strongholds, putting Assad's government back in control of almost two-thirds of the country. The UN withdrew from many of its positions shortly after that incident.
Army units had used "all types of weapons" to shell a group of militants who had come close to its side of the Yarmouk Valley in clashes that lasted almost 24 hours from Tuesday to Wednesday afternoon, an army source said.
IDF Spokesman Brigadier General Ronen Manalis said in a statement that at no stage in the operation was there a threat to Israeli citizens on Israeli territory.
Israel Defense Minister Avigdor Liberman visited northern Israel Thursday, where he said he believes Assad's forces will help maintain calm.
The militants had sought to take cover among hundreds of civilians camped near the Jordanian border to escape the bombing of their villages during the offensive against the militants, an intelligence source said.
Ali Hammoud, in an interview with Reuters on Monday, said the Syrian government had yet to receive any request from Jordan to reopen the crossing.