The step, which could be announced as early as today, would send a limited number of American troops to Jordan to be part of a regional training mission that would instruct carefully vetted members of the Free Syrian Army on tactics, including counterterrorism operations, the officials said.
They said Obama has not yet given final approval for the initiative, and that there is still internal discussion about its merits and potential risks.
However, he is not likely to announce the specific program, which is still being finalised, the officials said.
The officials spoke on condition of anonymity because they were not authorised to discuss administration deliberations.
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The State Department, Pentagon, intelligence community, along with many in Congress who back the move, have concluded that Assad will not budge without a change in the military situation on the ground, according to the officials.
The Senate Armed Services Committee last week passed a defense bill that authorises the Defence Department to provide training and equipment to vetted elements of the Syrian opposition.
The United States already has covert support operations in place for the Syrian opposition, and it is not yet clear how the new program would work.
The United States has spent USD 287 million so far in non-lethal aid on Syria's civil war, now in its fourth year.
Rebel commanders have been asking the US for lethal assistance as they've seen gains wiped out one after another, but the US has been reluctant to move to that kind of aid for fear weapons could end up in the hands of extremist rebels who might then turn on neighbouring Israel or against US interests.