The move comes as current GOP nominee Roy Moore is dealing with accusations of sexual misconduct with teenagers years ago.
Aderholt, a Republican who represents Lamar, Marion and Franklin counties, told Washingtonian magazine he's very pleased Moore denied many of the allegations and is suspicious of the timing of the accusations, which were published this week by The Washington Post.
Still, The New York Times reports other options being considered are for current U.S. Senator Luther Strange, who lost to Moore in the primary, to run as a write-in candidate and Alabama Governor Kay Ivey to delay the election so another candidate could replace Moore. Ivey says she has no plans to move the election.
The U.S. Senate special election is December 12.
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