In an unusually candid interview Thursday, late-night TV host David Letterman says he may retire after his current contract at CBS ends in 2014.

Letterman, speaking to "CBS This Morning" co-anchor Charlie Rose, also revealed he has taken medications to treat depression beginning in 2003, after he was forced to take a brief leave from "Late Show" because of a painful bout with shingles.

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Yesterday's pre-taped interview was tied to next Wednesday's telecast of the 35th annual Kennedy Center Honors -- Letterman is one of the honorees -- and, incidentally, scoops Oprah Winfrey's Letterman interview on OWN scheduled for early January.

Show business' most famous recluse, Letterman rarely speaks in public -- and almost never about his private life -- which makes the Rose encounter so unusual.

He said of his 30-plus-year career that "I wish I hadn't been so gosh darn single-minded because when your focus is that tight, you miss a lot of what's going on around you."

Depression, he said, set in after he ended a regimen of drugs to treat the shingles that had caused inflammation around his eyes, and "that's when I said to I'll try anything just to get rid of this" depression, he said.

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Asked about leaving "Late Show," he said he was aware that his idol and mentor Johnny Carson had also missed hosting "The Tonight Show" after his legendary 30-year run ended in 1992. "And I know I would miss it," he said, "but I'd find other things to do."