An exact analytical expression that describes the introduced voltage of an attachable anaxial-type eddy-current transducer (ECT) with displaced axes of the exciting and measuring coils, which is positioned above a conducting nonmagnetic half-space, was obtained. The loci of the introduced voltage in a complex plane, which were constructed on the basis of the results of a numerical analysis of this expression, are presented. It was established that in contrast to axial ECTs, anaxial transducers are characterized by a higher phase sensitivity of the introduced voltage to changes in the generalized testing parameter β and also by the fact that, as the value of this parameter increases, the loci for anaxial ECTs shift to the fourth quadrant of the complex plane to the third and second quadrants. The influence of the design parameters of an anaxial transducer on the shape of its introduced-voltage loci was investigated.