The figure has doubled since Moscow began airstrikes against the notorious terror group at the end of September, according to US officials.
They also claimed the number of bases used by Mr Putin’s men in the war-torn nation has grown.
Hundreds of ISIS jihadis are thought to have already been wiped out – along with the group’s arms supplies.
The Russian foreign ministry refused to comment on the size of Mr Putin’s contingent yesterday.
But there are no Russian troops in combat roles in Syria, according to a spokesman for the Kremlin.He added that forces are guarding Russia’s bases in the west of the country – and working with the Syrian military. The US officials also claimed several Russians have been killed – but failed to give exact numbers.
The only death reported by the Russian government is a serviceman who committed suicide.Washington has strongly criticised Mr Putin’s intervention in the Syria crisis, accusing the Russian president of trying to prop up president Bashar al-Assad.
Mr Putin hit back at their claims last month, saying his country wants to “contribute to the fight against terrorism” which threatens “the whole world”.He added: “I think some of our partners simply have mush for brains.
“They do not have a clear understanding of what really happens in the country and what goals they are seeking to achieve.”
The US has failed to wipe out ISIS after more than a year of air strikes – and is finally set to send special operations forces into Syria.
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