[cnn-photo-caption image= http://i2.cdn.turner.com/cnn/2008/images/11/15/art.schwarz.gi.jpg caption="Schwarzenegger likes the idea of Hillary Clinton as Secretary of State."]
(CNN) - California Gov. Arnold Schwarzenegger weighed in on the possibility of Hillary Clinton becoming President-elect Barack Obama's Secretary State, praising the potential choice as a "great move."
"I think she is a very very bright woman and very experienced. I think this could be a great move," Schwarzenegger told ABC's George Stephanopoulos in an interview set to air Sunday.
But Schwarzenegger, a Republican, also suggested Obama must be sure he can work with his former primary rival before he officially offers her the position.
"When it comes to those kinds of positions, what is equally as important, and I know with my cabinet, what is equally as important as who is qualified, is who can you work with. Who can you sit down with and really get in there and start becoming a partner [with], that sees things the way you see it," he said.
"And also that you maybe want to learn from that person and admire that person so much that you want to pick up some pointers and learn from that person, so that they together can go out and do this," Schwarzenegger also said.
Sources told CNN Friday Obama met with Clinton in Chicago Thursday to gauge the New York senator's interest in the top diplomatic post. Sources also told CNN Obama is considering New Mexico Gov. Bill Richardson for the position.
Clinton would not comment on the speculation Friday.