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Republican vice presidential nominee Sarah Palin was amused by Tina Fey's impression of her on this weekend's "Saturday Night Live," especially as she once dressed up as Fey for Halloween.

"She thought it was quite funny, particularly because she once dressed up as Tina Fey for Halloween," her spokeswoman Tracey Schmitt said, according to CBS News. Fey bears a much-remarked-upon resemblance to Palin, and they wear similar glasses.

In the skit, Fey appeared with Amy Poehler as Hillary Clinton and the two talked about sexism in the media and their own ideas about politics. "I don't agree with the Bush doctrine," Poehler said at one point.

"I don't know what that is," Fey responded, poking fun at the recent Charlie Gibson interview in which some said Palin appeared to be unfamiliar with the Bush doctrine on terrorism.

Click here to see the 'SNL' skit

In preliminary numbers measuring major U.S. cities, "SNL's" 34th-season premiere logged a 7.4 rating and 18 percent share of audience — the largest viewership for a "SNL" season debut since 2001, and up 64 percent from last year's opener, according to Nielsen Media Research.

So will Fey, who stars in NBC's weekly prime-time comedy "30 Rock," return to play Palin again?

"We are taking it day-by-day," said "SNL" spokesman Marc Liepis on Monday.

Could she be back as soon as this Saturday's show?

"We don't even have a script written yet," Liepis replied.

Under any circumstances, it was unlikely Fey would make an encore appearance on this week's "SNL," inasmuch as the New York-based show will air the night before Sunday's Emmy broadcast, live from Los Angeles. With "30 Rock" having snagged several nominations, including Fey as best comic actress, she is expected to be on hand for those festivities.

For the long term, "SNL" executive producer Lorne Michaels reportedly has an as-yet-undisclosed "Plan B" and "Plan C" for a Palin impersonator, in lieu of Fey.

In the meantime, as Liepis noted, "She has a day job."

The Associated Press contributed to this report.

Click here to read more on this story from CBS News