"The House still retains the right to decide who is seated," said House Democratic Leader Nancy Pelosi, who expects to be Speaker in the next Congress.
"As you know, it's not just the Democrats who have a problem with how it went in North Carolina, the Republicans have a problem, too, because it affected their primary election," Pelosi added.
A look at the numbers from the GOP primary in North Carolina show that Harris won by an extraordinary margin in the absentee-by-mail results, with an edge of 437-17 over Rep. Robert Pittenger (R-NC).
In recent days, Pittenger has raised more questions about the primary, as he has indicated his concern about what went on in Bladen County.
"There's some pretty unsavory people out, particularly in Bladen County," Pittenger said in a local TV interview. "And I didn't have anything to do with them."
It's not clear when the North Carolina Board of Elections will take another step in the Harris-McCready election.
Investigators have been seen in the field interviewing people who collected absentee ballots for Dowless, who was working for Red Dome on behalf of Harris.
The board said it would hold a hearing by December 21.