It is well known that jet cross sections at hadron colliders receive double-logarithmic corrections, also referred to as super-leading logarithms, starting at four-loop order. These corrections arise from two soft Glauber-gloun interactions between the colliding partons. For processes involving massive final states, such as top-antitop production, additional sources of double logarithms emerge due to the presence of non-trivial virtual singularities associated with the massive particles in the soft limit of the Hard function. We outline the procedure for determining the relevant color structures, resumming these new double logarithms, and study their magnitude relative to the usual super-leading logarithms from the Glauber exchange.