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Gayle King could soon say goodbye to the "CBS Mornings" anchor chair ... with a new report claiming the TV legend is expected to step down next year amid major shakeups under new network leadership.

According to Variety , King, who's helmed CBS Mornings since 2012, may stay within the CBS family in a different capacity, possibly developing her own show. The report says the details haven't been finalized. Getty

The shake-up comes amid a sweeping overhaul led by newly appointed CBS News editor-in-chief Bari Weiss , who's been making moves across the network ... axing two streaming shows, cutting roughly 100 staffers, and parting ways with several on-air anchors and correspondents. Getty

Despite all the chatter, CBS is pumping the brakes on exit talks ... telling TMZ

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