Obama "tomorrow will announce that he has authorized up to 250 additional forces deploying to Syria," the source said, adding that the president would confirm the deployment in a speech in the northern city of Hanover.
Read more from our special coverage on "SYRIA"
US troops in Syria are mandated to advise and assist Syrian rebel and anti-Islamic State forces.
Obama is currently in Germany for talks with Chancellor Angela Merkel.
The pair will be joined today by leaders from Britain, France and Italy, a meeting called at Obama's request and which looks set to focus on the fight against the Islamic State group.
"The president has authorized a series of steps to increase support for our partners in the region, including Iraqi security forces as well as local Syrian forces who are taking the fight to ISIL," said the official.
Obama is set to announce the decision at the Hanover trade fair before the meeting with European leaders.
Yesterday Obama pressed for parties to the Syrian conflict to return the negotiating table and "reinstate" a faltering internationally-brokered ceasefire.
"I spoke to (Russian) President Vladimir Putin early last week to try to make sure that we could reinstate the cessation of hostilities," Obama told a news conference in Germany.
That was the clearest indication yet that the White House believes the increasingly troubled ceasefire has disintegrated as regime and rebel bombardments claimed 26 lives yesterday.
The White House has argued that the ceasefire, while imperfect, is worth pursuing and is the only way out of the brutal five-year war.
But its stance is bringing Washington and its allies into ever more conflict with rebel groups on the ground, which continue to be on the receiving end of regime attacks.
Pressure on Obama is increasing in the United States, which in is the throes of a fiercely fought presidential election race, and from European allies who want to halt a massive influx of refugees.
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