The United States will not insist, after all, that a United Nations Security Council resolution include a threat of force, a senior official told CBS News White House correspondent Bill Plante.
The resolution being drafted demands that Syria give up its chemical weapons but Russia said it would veto the resolution if it specified a military option.
The compromise by the Obama administration could clear the way for a united, international effort to dispose of Syria's chemical arsenal.
U.N. Secretary-General Ban Ki-moon said Friday that a report on last month's deadly attack in Syria would be "overwhelming" in showing that chemical weapons were used,.
Ban made the statement while giving comments that he thought were not to be quoted but were broadcast on an in-house television channel at U.N. headquarters in New York.
The secretary-general was referring to a report from the U.N. chief weapons inspector, Ake Sellstrom, who announced Friday that his report would be brought to Ban over the weekend. Sellstrom didn't say when the report would be released to the public.
Ban said that Syrian President Bashar Assad "has committed many crimes against humanity."
In Geneva, Secretary of State John Kerry and Russian Foreign Minister Sergei Lavrov agreed on the size of the Syrian chemical arsenal, but they're still working on other details, such as where the stockpile is, CBS News correspondent Margaret Brennan reports. But while Russia had planned to leave Geneva Friday, talks are expected to continue Saturday.