Tennessee Code Title 2. Elections § 2-14-102

(b)(1) If it is necessary to hold a special election to fill a vacant seat in the United States house of representatives, a vacancy in a county office, or a vacancy in any municipal office, and the date for such election, as established under subsection (a), falls within thirty (30) days of an upcoming regular primary or general election being held in that district, the governor, or the county election commission, as specified in § 2-14-103, may issue the writ of election for the special election for the date which will coincide with the regular primary or general election.

(2) If the date of the election is adjusted, as provided in subdivision (b)(1), all other dates dependent on the date of election shall be adjusted accordingly, and any filing of candidacy, or qualifying petitions, financial statements, or other acts shall be timely done if performed in accordance with the revised dates.