A Tea Party group is encouraging supporters to give money in an effort to draft former Republican vice presidential candidate Sarah Palin to run against Sen. Mark BegichMark Peter BegichAlaska Senate race sees cash surge in final stretch Alaska group backing independent candidate appears linked to Democrats Sullivan wins Alaska Senate GOP primary MORE (D-Alaska) in 2014.

"You and I both know that Sarah Palin is a fighter who will stand up to Harry ReidHarry Mason ReidHarry Reid calls on Democrats to plow forward on immigration Democrats brace for tough election year in Nevada The Memo: Biden's horizon is clouded by doubt MORE and his pals in the Senate to protect our Constitution in issues like amnesty, gun control and our nation's crushing debt," said the fundraising email from Todd Cefaratti of the Tea Party Leadership Fund, obtained by the Los Angeles Times.

"We know that, with Sarah in the Senate, conservatives across America can rest a little easier at night knowing that she's at the watch."

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Palin has thus far not indicated any interest in challenging Begich, the former Anchorage mayor who defeated the Senate's longest serving Republican member, Ted Stevens, in 2008. But early polling suggests the former Alaska governor would face an uphill climb.

In a February survey by Public Policy Polling, Begich led Palin 54-38 percent. In that same survey, just a third of Alaska voters said they viewed Palin favorably, while nearly six in 10 held a negative opinion. Meanwhile, voters approved of Begich's job performance 49-39 percent.