A new poll out Wednesday shows Sen. Lisa Murkowski (R-Alaska) polling nearly even with Republican nominee Joe Miller in Alaska's Senate race. 

According to a new CNN/Time poll, the Tea Party-backed Miller leads Murkowski by just two percentage points--38 percent to 36 percent. Sitka Mayor Scott McAdams (D) is in third with 22 percent of the vote. The survey polled 927 likely voters and has a margin of error of plus-or-minus 3 percentage points.

Murkowski is waging a write-in bid this fall after being upset by Miller in the state's GOP Senate primary. 

The poll found a high level of support for Murkowski among Democrats. A full 39 percent of Democrats said they intend to write-in Murkowski's name in November, while 55 percent said they will vote for McAdams. 

Among Republicans, Murkowski garners 32 percent to Miller's 63 percent. 

The results come with a major caveat given the difficulty of polling a write-in campaign. Alaska-based pollster Marc Hellenthal said he expects a large drop-off between the percentage of voters who say they back Murkowski in pre-election polls to her actual vote percentage on Election Day. 

Here's the way the question was asked: "If the election for U.S. Senate were held today and the candidates were Scott McAdams, the Democrat and Joe Miller, the Republican, who would you be more likely to vote for or would you write in the name of Lisa Murkowski, who is also running?"

National Republicans have largely abandoned Murkowski since she announced her write-in campaign and the NRSC is backing Miller.