Ashton Carter, Obama's new Secretary of Defense and a former Goldman Sachs adviser and member of the Council on Foreign Relations, wants to expand the ISIS war beyond Syria and Iraq.

Carter told Congress it should grant the Pentagon the authority to strike the U.S.-trained terror group without any limits.

"The proposed AUMF wisely does not include any geographical restriction, because ISIL already shows signs of metastasizing outside of Syria and Iraq," Carter said.

Obama introduced the new Authorization to Use Military Force (AUMF) in November.

The chairman of the Senate Foreign Relations Committee, Tennessee Republican Senator Bob Corker, said he does not know of any Democrats who support Obama's war authorization request.