Tennessee Code Title 67. Taxes and Licenses § 67-3-1406

(a) The amount of diesel tax payable to this state on dyed diesel pursuant to this part is determined by multiplying the rate of the diesel tax by the number of gallons of dyed diesel used in this state by the commercial carrier to produce power for a means of transportation.

(b) There shall be allowed a credit against the amount determined under subsection (a) equal to the amount, if any, of sales tax properly paid to another state upon the dyed diesel used in this state by the commercial carrier to produce power for a means of transportation.