Accurate numerical simulation of eddy-current testing (ECT) experiments usually requires large computational efforts. To avoid time-consuming computations, a natural idea is to build a cheap approximation of the expensive-to-run simulator. In this paper, a kriging-based approximation of an ECT simulator is presented. Kriging is widely used in other domains, but is still quite unexplored in the ECT community. The kriging approximation is built using a random process model of the simulator and a set of simulation results obtained for a number of different input configurations. The resulting approximation might yield almost the same results as those of the simulator.