We study the spectra of N × N Toeplitz band matrices perturbed by small complex Gaussian random matrices, in the regime N 1. We prove a probabilistic Weyl law, which provides an precise asymptotic formula for the number of eigenvalues in certain domains, which may depend on N , with probability sub-exponentially (in N) close to 1. We show that most eigenvalues of the perturbed Toeplitz matrix are at a distance of at most O(N −1+ε), for all ε > 0, to the curve in the complex plane given by the symbol of the unperturbed Toeplitz matrix.