Eddy-current non-destructive testing is widely used to detect defects within a metal structure. It is also useful to characterize their location and shape provided that proper maps of variations of impedance which the defects induce are available. Imaging of void defects in the wall of a hollow, non-magnetic metal tube, is performed herein by controlled evolution of level sets. Such data are variations of impedance collected by a circular probe array close to the inner surface of the tube when a coil source operated at one single frequency is set along its axis at some distance from the array, both receiver and coil source being moved simultaneously. The defect zone is represented in implicit fashion as a zero level set, amenable to topological changes via a nonlinear iterative method that minimizes a least-square cost functional made of the difference between the measured (computer simulated) and model data. The procedure involves the rigorous calculation of the gradient of the variations of impedance, in the case of a multi-static configuration, a vector domain integral field formulation being used to that effect. Numerical examples, via a dedicated extension of the general-purpose CIVA platform, exhibit pros and cons of the approach for inner, outer, and through-wall void defects, with further comparisons to results provided by an independently-developed binary-specialized method.