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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 travelling in a super efficient car that averaged 60 miles per gallon and were paying 3.54 per gallon for your gas then the cost for this based on this estimate from Birmingham to Knoxville in gas would be around $16.21 USD.