According to CNN the U.S. is sending headquarter elements of the 1st Armored Division to Jordan. These could become the first elements of a full taskforce.
For now those are only 200 soldiers. But unlike the Special Forces the U.S. already deployed to Jordon to train Syrian insurgents these are not for immediate operations. A headquarter element of a division is for planing the eventual deployment of bigger parts of that division. The 1st Armored has four fighting plus one aviation brigade. Altogether more than 15,000 soldiers.
For now I believe this to be a precautionary measure as well as a part of psychological warfare. I do not expect further troops to deploy. The situation on the ground is extremely complex and should the U.S. venture into Syria it surely would be in for another Iraq like quagmire.
Obama is unlikely to want to have such a quagmire as his legacy.