  The structure of the Khovanov homology of $(n,m)$ torus links has been
extensively studied. In particular, Marko Stosic proved that the homology
groups stabilize as $m\rightarrow\infty$. We show that the Khovanov homotopy
types of $(n,m)$ torus links, as constructed by Robert Lipshitz and Sucharit
Sarkar, also become stably homotopy equivalent as $m\rightarrow\infty$. We
provide an explicit bound on values of $m$ beyond which the stabilization
begins. As an application, we give new examples of torus links with non-trivial
$Sq^2$ action.
