During a closed-door meeting, the council discussed the talks opening Monday in the Kazakh capital of Astana after the United Nations decided to send envoy Staffan de Mistura to the meeting.
Sweden's ambassador and council president Olof Skoog said the Astana talks could help shore up a ceasefire and "represent an important stepping stone coming back to UN-led talks in Geneva thereafter."
Western powers have for weeks questioned the purpose of the Astana talks and raised concern that they could open up a new track of negotiations to end the nearly six-year war in Syria.
The United Nations is working to bring the Syrian government and the rebels to the table in Geneva on February 8.
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The UN-led talks have broken down over disagreements on ensuring a transition in Damascus that would lead to Syrian President Bashar al-Assad's exit from power.
Turkey, which backs rebel forces, for the first time conceded that a peace deal that excludes Assad from power might not be possible.
Assad told Japanese television that he hoped the rebels attending the Astana talks will agree to lay down their arms in exchange for an amnesty deal.
Turkey and Russia, which supports Assad, brokered a ceasefire on December 30, but clashes have continued while deliveries of humanitarian aid remain blocked.
The war in Syria has killed more than 310,000 people and forced millions to flee their homes.