Tenn. Code Ann. § 32-5-104

If upon the hearing, it appears to the satisfaction of the court that the will has been duly proved, allowed and admitted to probate outside of the state, and that it was executed according to the law of the place in which the will was made, or in which the testator was at the time domiciled, or in conformity with the laws of this state, it must be admitted to probate, which probate shall have the same force and effect as the original probate of a domestic will.