There's still no official word on whether Sen. Lisa Murkowski (R-Alaska) will offer her support to Tea Party-backed Joe Miller, who defeated her in the state's Senate primary. But Miller spokesman Randy DeSoto said Wednesday, "I think it will happen at some point." 

In her short concession speech Tuesday night, Murkowski did not endorse Miller, who was able to hold his lead throughout the day Tuesday even as thousands of absentee ballots were added to the vote tally.

"I know that we on the other side were saying that we would support the Republican ticket if we lost the primary," said DeSoto. "We'd certainly like her endorsement and support."

In an interview with Fox News on Wednesday, Miller also expressed confidence that the party would be unified ahead of November. "I'm certain that we're going to have a unified front in the fall election," Miller said. 

A spokesman for Murkowski declined to comment.  

Murkowski's endorsement undoubtedly holds value for Miller, who doesn't want to begin the general election contest with a divided state party. Democratic nominee Scott McAdams is already making a pitch to more centrist Murkowski backers that they should line up behind his candidacy in the general election.  

After a contentious primary and an additional week of tension between the national party and the Miller campaign, the National Republican Senatorial Committee threw its support behind Miller Tuesday.  

"The NRSC is committed to doing everything that we can in order to ensure Joe Miller’s victory this November, and I have no doubt that he will be elected as the next U.S. Senator from Alaska," Chairman John Cornyn (R-Texas) said in a statement Tuesday night.