Sen. Lisa MurkowskiLisa Ann MurkowskiMoore digs in amid mounting GOP criticism Republicans float pushing back Alabama special election Moore defends himself as pressure mounts MORE (R-Alaska) has surged to a lead of more than 10,000 votes in Alaska's Senate race against Tea Party-backed Joe Miller, making victory for the incumbent all but certain. 

After state elections officials wrapped up counting of several thousand additional write-in ballots Tuesday, Murkowski's lead over Miller grew substantially. 

According to unofficial vote totals from the state division of elections Murkowski leads with 100,868 votes to Miller's 90,448. Murkowski began the day with a lead of less than 2,000 votes over Miller.  

The number of ballots challenged by Miller's legal team for either improper spelling of Murkowski's name or other irregularities currently stands at 8,153. 

It means the incumbent's margin over Miller is more than the number of disputed ballots in the race. As the numbers stand now, even if Miller went ahead with his legal challenge and succeeded in getting all of those contested ballots thrown out, Murkowski would still come out on top.

It's the scenario the Miller campaign has previously said would lead it to fold their legal efforts and cede defeat to Murkowski, but official word from either campaign is unlikely to come before Wednesday when the counting of the remanning write-in ballots and several hundred absentees is expected to be complete. 

State officials also announced Tuesday that they will provide the Miller campaign with the state's voter rolls to assuage the Republican's worry over vote fraud. 

The Miller campaign has raised concerns over ballots that appear to be written in similar handwriting and questioned the security firm tasked with securing the counting process. 

According to the AP, Lt. Gov. Craig Campbell (R) agreed Tuesday to turn over the rolls to Miller's camp before the end of this week. 

Murkowski, who received a warm welcome from fellow senators on the chamber floor Monday, as well as congratulations from National Republican Senatorial Committee Chairman John CornynJohn CornynAfter Texas shooting, lawmakers question whether military has systemic reporting problem Overnight Defense: Lawmakers question military's lapse after Texas shooting | Trump asks North Korea to 'make a deal' | Senate panel approves Army pick Overnight Regulation: House passes bill to overturn joint-employer rule | Trump officials to allow work requirements for Medicaid | Lawmakers 'alarmed' by EPA's science board changes MORE (Texas), said she expected no final news until the entire vote count was completed Wednesday.