CNN Boss Jeff Zucker -- Sorry Ann Curry, You're NOT Ready for Prime Time

Ann Curry ain't gonna be the next Anderson Cooper ... or Erin Burnett ... or even Piers Morgan ... 'cause TMZ has learned Jeff Zucker has NO INTEREST in offering her a prime time anchor job at CNN.

Well-connected network sources tell us ... reports that Zucker is courting Curry to be the next CNN star couldn't be further from the truth. Fact is, Zucker doesn't believe Curry is the answer to CNN's problems and is continuing the search elsewhere.

As one source tells TMZ, "Ann has been sainted because of what happened to her [on "Today"]. The fact is ... she definitely can't carry a prime time show."

We're told it's possible Curry could come over to CNN to be something like a foreign correspondent, but it's "highly unlikely," because she's making around $10 mil at NBC and no way no how will Zucker pay anywhere near that.