We study confinement in supersymmetric SU(N) Yang-Mills theory where one spatial dimension is compactified to the circle S^1. Confining strings have been conjectured  to be composed of two domain walls arranged into a “double string”, which carry the chromoelectric flux of static quark sources. After explaining the setup, I will show that the double-string confinement mechanism holds for quarks of all N-alities, except for fundamental quarks, for which the domain walls collapse to form a single flux tube.