Most membrane proteins are oligomers, but the physical forces explaining the stable association of these complexes inside the lipid bilayer are not well understood. The homodimeric antiporter CLC-ec1 highlights the puzzling nature of this reaction. This complex is thermodynamically stable even though it associates via a large hydrophobic protein-protein interface that appears well adapted to interact with the membrane interior. In a previous study, however, we discovered that when CLC-ec1 is dissociated, this interface introduces a morphological defect in the surrounding membrane, leading us to hypothesize association is driven by the elimination of this defect upon dimerization. This study tests this hypothetical mechanism directly and shows it is supported by molecular and physical models. First, using coarse-grained umbrella-sampling molecular simulations, we calculated the membrane contribution to the potential-of-mean-force for dimerization in a POPC bilayer. This shows the stable association of CLC subunits prior to formation of direct protein-protein contacts, but only via the native interface that presents the membrane defect, and not others. Single-molecule photobleaching experiments show that addition of short-chain DLPC lipids, known to alleviate the membrane defect, also shifts the association equilibrium from dimers to monomers. We explain this destabilizing effect through additional umbrella-sampling and alchemical free-energy simulations, which show DLPC enrichment of the defect diminishes the membrane contribution to the association free energy, as it improves the lipid-solvation energetics of the monomer but not the dimer. In summary, this study establishes a physical model that explains the stability and orientational specificity of CLC dimers in terms of membrane-mediated forces, rather than protein-protein interactions. We posit that cells might ubiquitously leverage morphological defects in the bilayer to drive organization of membrane proteins into functional complexes, and that cellular regulation of lipid composition can modulate this organizing effect.