(CNN) - The wild three-way Senate race in Alaska now appears to be a two-person fight for the top spot, according to a new poll.
A CNN/Time/Opinion Research Corporation survey released Wednesday indicates that 38 percent of likely voters in the state support GOP nominee Joe Miller, with 36 percent saying they back Republican Sen. Lisa Murkowski, who was narrowly defeated by Miller in last month's GOP primary.
Full results (pdf)
Murkowski is now running as a write-in candidate in the general election.
According to the poll, 22 percent back Sitka Mayor Scott McAdams, the Democratic nominee, with four percent either undecided or not supporting any of the three candidates listed in the survey.
Miller's two-point advantage over Murkowski is within the survey's sampling error.
Late last month, Murkowski conceded defeat in her bid for her party's nomination. The senator, who is part of a political dynasty in Alaska, was upset in the August 24 primary by Miller, a previous longshot who enjoyed strong support from Tea Party activists and former Alaska Gov. Sarah Palin.
"It looks like Alaska Democrats may be planning to do some strategic voting," CNN Polling Director Keating Holland said.
Nearly four in ten Democratic likely voters say they plan to write in Murkowski's name. That's an indication that a lot of Democrats are more interested in defeating Miller than they are in electing a member of their own party."
Murkowski's support is high among women, lower-income voters, and senior citizens - all groups that give her 43 percent of their vote.
"Senior citizens may be a hidden advantage to Murkowski's write-in candidacy," Holland said. "Not only are they slightly more likely to vote in midterms, they are also the most experienced voters and may be most familiar with the often puzzling process of casting a write-in vote."
In the gubernatorial contest, the poll indicates that incumbent Gov. Scott Parnell leads former state lawmaker Ethan Berkowitz, the Democratic nominee, 57 to 38 percent among likely voters. Parnell, who was elected lieutenant governor in 2006, assumed the governorship in the summer of 2009 when Palin stepped down.
The CNN/Time/Opinion Research Corporation poll was conducted Sept. 24-28, with 1,528 adults, including 927 likely voters in Alaska, questioned by telephone. The survey's sampling error is plus or minus three percentage points for likely voters.
– CNN Deputy Political Director Paul Steinhauser contributed to this report
Why does Murkowski have to be a write-in? WHy will her name not be on the ballot?