"The president is going to keep her as his secretary of state," Gibbs said, adding that the White House appreciates Hatch's suggestion.
Earlier, another White House spokesman told Politico the same.
"The president thinks Secretary Clinton is doing an excellent job as secretary of state and wants her to remain in that position," said Tommy Vietor.
Clinton herself also demurred.
"Secretary Clinton is working incredibly hard as Secretary of State. She loves her present job and is not looking for another one," said a spokesman.