Alaska Gov. Mike Dunleavy (R) suggested Thursday the state could withhold certification of the U.S. Senate election results if Democrat Mary Peltola wins.

Why it matters: Withholding certification could complicate Peltola's path to the Senate, as Republicans investigate allegations that Democrats recruited a candidate with the same name as GOP incumbent Dan Sullivan .

Driving the news: Asked during an interview with NewsNation whether he would certify the election if Peltola wins while the matter remains under investigation, Dunleavy stopped short of committing to do so.

"We're going to investigate it. We're going to follow the law," Dunleavy said, adding that any findings of illegal conduct "may in fact impact whether somebody is seated in the U.S.…