Democrat Mary Peltola's campaign group last week demanded access to documents showing which mail-in ballots had been rejected in the state, and sued the Alaska Division of Elections.
But on Wednesday, a state judge dismissed the lawsuit, saying the vote count was still ongoing and that it was therefore not possible to compile such a list.
Just over a week after the midterm elections, only about 86 percent of the votes in Alaska have been counted. The race for the state's one Senate seat is between incumbent Republican Senator Dan Sullivan and Democrat Peltola, who is narrowly leading, according to the AP. However, neither candidate has more than the 50 percent required to win.
If Peltola wins, she will be the first Alaska Native to take a seat in the US Senate.
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