Three officials, speaking to Reuters news agency on the condition of anonymity, said the recommendations were part of discussions on a draft plan by the US military.
While talks are at an early stage, no decision has yet been made, the officials noted.
The Pentagon said it would be "inappropriate" and premature to comment on what will happen with the weapons.
"Planning is ongoing, and focused on executing a deliberate and controlled withdrawal of forces while taking all measures possible to ensure our troops' safety," said Commander Sean Robertson, a Pentagon spokesperson.
It is unclear what the Pentagon will ultimately recommend to the White House in the coming days. But the final decision will be made by President Donald Trump, who ordered the withdrawal of about 2,000 US troops from Syria earlier this month.
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