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The driving distance between Knoxville, TN and Birmingham, AL is approximately 255 miles. The driving time would be approximately 4 hours 15 minutes if you were to travel non- â¦ stop in good driving conditions.
The drive from Knoxville to Cherokee is approximately two hours. 2. Via Maryville and US 129 - Take US 129 south through Alcoa and Maryville. After crossing into North Carolina, take US 28 south to US 74 (the Great Smoky Mountains Expressway).