With Katie Couric’s contract with CBS Evening News due to expire June 4, rumors are again circulating that Couric may choose to leave the anchor desk. And David Letterman is having none of it. During a Late Show appearance Tuesday night, Couric told Letterman she is still figuring out what she wants to do. “Once you take the anchor chair, that’s what you do,” Letterman said. “Is that a CBS law?” Couric laughed. “No, but it’s not like it’s a temp gig.” Evoking names like Walter Cronkite and Peter Jennings, he said anchors, “get in it, they saddle up and they ride into the sunset. Into the sunset!” He told her flat-out she should not leave. “There’s a period of adjustment to get accustomed to the trust and build up faith in the character of the person presenting the news. And then you can’t just pull the rug out from under the viewers.”

“Okay,” Couric said sheepishly. “Okay, Dave.” Then they both laughed.

A rep for CBS Evening News had no comment on when the network expects a decision from Couric. Couric’s personal rep tells EW, “As Katie said, she is proud of the award-winning accomplishments of her team at CBS, but has not made a decision on her future.” When rumors circulated last October that Couric may leave CBS, 24 percent of readers responding to a PopWatch poll on her next move said she should stay with CBS Evening News, 19 percent suggested she return to Today, and 57 percent said she should do something entirely different.

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