Murkowski also told Katie Couric of the "CBS Evening News" that she doesn't think Palin enjoyed governing.
An e-mail sent Monday from The Associated Press to Palin's media team wasn't immediately returned.
Palin, a former vice presidential nominee, resigned midway through her first term as Alaska's governor last year. She's seen as a potential 2012 presidential contender, though Murkowski has said she wouldn't support a Palin run.
Despite their differences, Murkowski she says she's still Palin's senator and will "work hard to represent her, too."
Murkowski is seeking to defeat Palin-backed candidate Joe Miller in the still-undecided Alaska Senate race. Murkowski ran as a write-in candidate after losing the primary to Miller.
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