The honeycomb K-Γ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By partially projecting out Majorana states we are able to map the model onto a model of weakly coupled Ising chains in a transverse field. Within this mapping the ordered Ising phase corresponds to the condensation of Z₂ fluxes, or confinement. Our results may improve our understanding of the extensively studied spin liquid candidate material α-RuCl₃, where K-Γ interactions are dominant.