The relic density of TeV-scale wino-like neutralino dark matter in the MSSM is subject to potentially large corrections as a result of the Sommerfeld effect . A recently developed framework enables us to calculate the Sommerfeld-enhanced relic density in general MSSM scenarios , properly treating mixed states and multiple co-annihilating channels as well as including off-diagonal contributions . Using this framework , including on-shell one-loop mass splittings and running couplings and taking into account the latest experimental constraints , we perform a thorough study of the regions of parameter space surrounding the well known pure-wino scenario : namely the effect of sfermion masses being non-decoupled and of allowing non-negligible Higgsino or bino components in the lightest neutralino . We further perform an investigation into the effect of thermal corrections and show that these can safely be neglected . The results reveal a number of phenomenologically interesting but so far unexplored regions where the Sommerfeld effect is sizeable . We find , in particular , that the relic density can agree with experiment for dominantly wino neutralino dark matter with masses ranging from 1.7 to beyond 4 TeV . In light of these results the bounds from Indirect Detection on wino-like dark matter should be revisited .