A state judge in Alaska ruled Thursday that Sen. Lisa Murkowski (R-Alaska) can intervene in the lawsuit initiated by Republican Joe Miller.

Miller is suing the state over the outcome, contesting more than 8,000 write-in ballots his lawyers say were erroneously counted for Murkowski.  

The senator was declared the winner in the race earlier this month, but a temporary injunction from a federal judge has prevented state elections officials from certifying the results. Her lead over Miller is more the 10,000 votes. 

A judge in Alaska Wednesday agreed that Miller's lawsuit contesting the outcome of the state's Senate contest should be resolved quickly. 

Attorneys for the state filed a brief Tuesday, asking a judge to expedite the case over concerns that the state could be without full representation in Congress come January. 

Arguments are slated to begin next Wednesday.