WASHINGTON — The Russian military intervention to prop up Syria's government has brought new scrutiny of the CIA's secret support to Syrian rebels fighting Bashar Assad. But how far is the U.S. willing to go to empower its proxies to take on Vladimir Putin's allies?

The answer seems to be: not very far.

"Countering Russia's involvement in Syria doesn't rate nearly as high on the scale" as battling the Islamic State, which has declared a caliphate across parts of Syria and Iraq, White House spokesman Josh Earnest told reporters Tuesday.

After the CIA spent more than two years secretly working with Arab allies to arm, train and fund thousands of so-called moderate rebels to oppose Assad, American officials have watched in recent days as Russian bombs and missiles have targeted those groups.

U.S. officials and outside experts say the Obama administration is unlikely to protect CIA-backed rebels from Russian air strikes — by providing them with surface-to-air missiles, for example — for fear they could fall into the wrong hands and be used against passenger jets in a terrorist attack. There is also little appetite in the White House for a U.S.-enforced no-fly zone in Syria, officials say.

Instead, the U.S. has been continuing its delivery to rebels of American-made TOW anti-tank missiles. Rebels have deployed the missiles to great effect over the last six months, and even more so in the last week, destroying dozens of Russian-made Syrian armored vehicles.

The CIA requires the vetted rebel groups it supports to take a video of every use of a TOW missile and to send the empty canisters back to American operatives in Turkey, according to Charles Lister, a Syrian expert at the Brookings Doha Center, a U.S. think tank branch in Qatar. A U.S. official confirmed the arrangement, speaking on condition of anonymity because he was not authorized to discuss the matter publicly.

The TOWs have "some potential if they can put enough in and the rebels are clever," said Jeffrey White, a former Defense Intelligence Agency analyst now at the Washington Institute for Near East Policy.

"They can cause the regime forces to either fail or have a difficult time making advances. That's at least indirect pressure on the Russians to either stop or do more."

But TOW missiles aren't designed to shoot down Russian jets and helicopters. And if Russian air power continues to blast away at CIA-trained rebels, a chilling message will be sent, White said.

"We've aligned ourselves to these guys, we trained them and paid them and sent them off to battle, and when the going gets tough, we're not there."

President Barack Obama has not spoken about the CIA program publicly, but he has said that Russia risks slipping into a quagmire in Syria and is operating from a position of weakness.

Obama also faces a vexing dilemma. On the one hand, the chief American goal in Syria is to destroy the Islamic State, an extremist army with billions of dollars at its disposal. Yet American officials also believe that getting Assad out of Syria is a key precursor to defeating the Islamic State movement, which is driven in part by Sunni disaffection with the Alawite governing class. And the Russians are working to keep Assad in power.

The CIA effort, which has trained and funded as many as 10,000 Syrian rebels over the last two years, is separate from the failed Defense Department training program that the Pentagon ended last week. The Pentagon program required fighters to promise to take on only the Islamic State, not the Syrian government, and managed to put into action fewer than 80 men.

Technically secret, the CIA program funnels money, weapons and training to so-called moderate rebels who are fighting Assad. After some early failures, the CIA-backed rebels began over the summer to put serious pressure on the Assad government, U.S. officials say, though Lister and other analysts say extremist militias were key to those engagements.

The relationship between the CIA-backed rebels and extremists has been an ongoing point of controversy. Some lawmakers who have been briefed on the program are deeply concerned about whether the CIA can control the militants and keep track of the weapons it is providing.

More than 550 TOW missiles have been provided to the rebels, Lister said, citing rebel sources who track the shipments. But only four are known to have gotten into the hands of al Qaida fighters, he added.

If the Assad government ultimately collapses, the U.S. will need allies amid what will likely be a protracted struggle for power in that country, White said. Terrorism concerns should not prevent American engagement with anti-Assad rebels.

"If we don't have somebody there now that is beholden to the United States," he said, "then we're going to have nobody in that post Assad game."

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Associated Press reporter Darlene Superville contributed to this report.