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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 vehicle that averaged 35 MPG and were paying $3.54 per gallon for your gas then the cost for a trip based upon an estimated distance of 274.8 drive miles from Birmingham to Knoxville * in gas would be in the region of $27.79 USD.