Republican Senate candidate Joe Miller expressed confidence Tuesday that the final vote tally in his primary against Sen. Lisa Murskowski (R-Alaska) will be "accurate."

The Sarah Palin-backed candidate spoke just as Alaska officials began counting the remaining 24,000 ballots in the tight contest. Miller last week voiced concern that the incumbent Murkowski would try "to skew the results."

"What we have responded to are improper actions that have occurred by the other campaign within certain vote-tallying areas," he said in an interview on Fox News. "The lieutenant governor has addressed that; he's responded to our concerns. He has certainly made several comments that verified some of the concerns we raised. But we are confident at the end of the day, we're gonna have an accurate vote tally and it's going to reflect the will of the Alaskan people."

The Alaska race is one of the most-watched primary contests in the country. Miller, a relatively unknown Iraq war veteran and lawyer who picked up Tea Party support, emerged with a lead over Murkowski after voters went to the polls last Tuesday.

After counting the first batch of leftover ballots this Tuesday, Murkowski was able to chip away at Miller's 1,668-vote lead, narrowing it to 1,325.

Amid reports last week that Murkowski had summoned a top lawyer from the National Republican Senatorial Committee (NRSC) to help her campaign, Miller accused the group of "meddling" in the primary contest. 

He also invoked the 2008 Minnesota Senate race that involved an eight-month legal battle, saying he feared Murkowski would try to "pull an Al Franken."

Miller softened his stance Monday after the NRSC pledged to stay neutral as the final votes were counted, but still said there were efforts to "skew" the results. 

Murkowski called Miller's comments "blatantly false accusations" and added that "for someone who wants to be Alaska's Republican nominee for Senate, Mr. Miller is certainly afraid of Republicans."

Miller said that, as of now, his campaign does not have the evidence to challenge the final results of the vote tally.

"The only way that we'd ever challenge anything is if there was evidence of some sort of vote-tampering," he said. "Right now we don't have that. We certainly have evidence of improper actions within certain areas," he said, adding that efforts by his opponent's campaign are not "casting a pall" on the overall results.