Russia - not Israel - is touting strategic cooperationproud that Israel is cooperating with their camp.
"We don't interfere with them and they don't interfere with us," Defense Minister Moshe Ya'alon said in a radio interview, tersely summing up Israel's accommodation with Russia.
Another reason Israel is holding back could be because it does not know the full extent of Russia's plans for Syria or what effect they could have on Assad's allies – Iran and the Lebanese guerrilla group Hezbollah.
A de-facto axis between Moscow and Israel's two most powerful regional enemies could seem an unsettling scenario for Prime Minister Benjamin Netanyahu's government, but it might also be seen as providing a moderating influence.
"The new order in the Middle East is loose coalitions for specific purposes, so a Russian partnership with Iran and Hezbollah to save Assad is not necessarily bad for us," a Netanyahu confidant told Reuters on condition of anonymity.
Russian President Vladimir Putin "is not looking to mess with Israel, and it's unlikely he would look kindly on Iran or Hezbollah messing with Israel now, either," the confidant said.
The assurance has been echoed by Russia, which hosted Netanyahu for Syria "deconfliction" talks on Sept. 21.
It took until this week for the United States, whose forces have long been in sync with Israel on Syria, to agree on similar coordination with Russia.
Shein said Russia was familiar with the reasoning behind past Israeli air strikes in Syria, including against alleged arms transfers by Iran or Assad's army to Hezbollah, and "fully aware of Israel's strategic importance in the Middle East."
But he said Syria's neighbors and overall regional stability were threatened by the conflict, suggesting Israeli security might be best served by an Assad victory.
Israel called for Assad to be ousted after the civil war began but the Netanyahu government has recently preferred neutral rhetoric even though Western powers continue to demand an eventual change of leadership in Syria.
Moscow, meanwhile, has made no secret of seeing vindication for its Syria strategy in the Netanyahu government's posture.
"Israel’s prudence from the outbreak of the conflict in Syria has become apparent in the fact that Israel did not consider the overthrow of President Assad as an indispensable condition to avoid foreign intervention and impediment for the beginning of a national reconciliation," Shein said.
He linked this to what he described as Israel's "wisdom" in not taking sides when Russia seized the Crimea region from Ukraine last year following the removal of a Ukrainian president who was sympathetic to Moscow.
"I hope it reflects concern for the development of Russian-Israeli relations in a true, friendly and cooperative manner," Shein said.
Israeli officials have spoken respectfully, but not lavishly, about their evolving relationship with Russia.
A diplomatic dividend such as Russian recognition of Israel's ownership of the Golan Heights is nowhere on the horizon, and Moscow's growing relationship with Iran worries the Netanyahu government.
What could go wrong?