  We show that the finite time blow up solutions for the co-rotational Wave
Maps problem constructed in [7,15] are stable under suitably small
perturbations within the co-rotational class, provided the scaling parameter
$\lambda(t) = t^{-1-\nu}$ is sufficiently close to $t^{-1}$, i. e. the constant
$\nu$ is sufficiently small and positive. The method of proof is inspired by
[3,12], but takes advantage of geometric structures of the Wave Maps problem
already used in [1,21] to simplify the analysis. In particular, we heavily
exploit that the resonance at zero satisfies a natural first order differential
equation.
