We consider the inverse eigenvalue problem for Schrödinger operators on finite intervals. The potential is allowed to be complex. In Horváth and Kiss (2009 Stability of direct and inverse eigenvalue problems for Schrödinger operators on finite intervals Int. Math. Res. Not. 2010 2022-63) we obtained estimates between the Lp-norm of the perturbation of the potential and the lp'-norm of the perturbation of the eigenvalues. In this paper, we extend these results for complex-valued potentials.