Letterman offered Abdul a bit of advice by detailing a decision he made earlier in his career, which included hosting duties on NBC's "Late Night with David Letterman."
"One time, I tried that, I was coming up to the end of a contract, and I said, 'I don't know, maybe I won't come back,' and they said, 'Fine because we've got another guy ready to go,'" Letterman told Abdul.
The ninth season of "Idol" is not scheduled to begin until 2010.
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