The drawdown, if confirmed, would slash troop levels from their current 14,000, and would follow Trump's decision to completely withdraw all U.S. forces from Syria.
The U.S. officials spoke on the condition of anonymity.
The Pentagon declined to comment.
On Wednesday, Washington announced it will be withdrawing all of its troops from Syria, following a conversation between Turkish President Recep Tayyip Erdoğan and Trump over an imminent Turkish cross-border operation to eliminate terrorist People's Protection Units (YPG) from northern Syria.
It has been reported that the U.S. still has about 2,000 troops in Syria.
The timeframe for U.S. troop pullout from the country is expected to be between 60 to 100 days, according to a U.S. official.