CBS News president David Rhodes is considering candidates both inside and outside of the network, said the sources, who asked not to be identified because they are involved in the negotiations. Among those under consideration are: Margaret Brennan, the White House and senior foreign affairs correspondent for CBS; Bianna Golodryga, a CBS News correspondent and a contributor to CNN; and Nancy Cordes, chief congressional correspondent for CBS.
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Two sources said CNN's chief political correspondent, Dana Bash, was approached about the position but remains under contract to the network. A CNN spokesperson declined to comment.
The position isn't guaranteed to go to a female candidate; the sources said Major Garrett, the chief White House correspondent for CBS, is also in the running.