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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.
If you were driving a bigger vehicle that averaged 20 miles per gallon and were paying 3.54 per gallon for your gas then the cost for a road trip from Birmingham to Knoxville in gas would be around $48.64 USD.