The strange dibaryons pΩ (S25) and ΩΩ (S01) are likely bound, existing either in molecular states like the deuteron or as more exotic compact six-quark states. Here, we investigate the production of these two dibaryons in Pb+Pb collisions at sNN=2.76 TeV at the CERN Large Hadron Collider within a covariant coalescence model, which employs a blast-wave-like parametrization for the phase-space configurations of constituent particles at freeze-out. For the molecular states, the pΩ and ΩΩ are produced via p−Ω and Ω−Ω coalescence, respectively, while for the six-quark states, they are formed through uudsss and ssssss coalescence. We find that the yield ratios NpΩ/NΩ and NΩΩ/NΩ have a distinct centrality dependence between the molecular and multiquark states, thus offering a promising way for distinguishing the two states. Our results suggest that the measurements of pΩ and ΩΩ production in relativistic heavy-ion collisions can shed light on their internal structures. Published by the American Physical Society 2024