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We propose an approach for measuring the moments of the hadronic invariant mass distribution in semileptonic Bs0 meson decays using a sum-of-exclusive technique. Using the present and foreseen knowledge about exclusive semileptonic Bs0 decays, we estimate the uncertainties on moments of the kinematic distribution. Semileptonic Bs0 decays can be described, as their B0 counterpart, using the Heavy Quark Expansion (HQE), with the only difference between the Bs0 and B0 mesons being the SU(3)F breaking effects that change the numerical values of the non-perturbative HQE parameters. We extract the HQE parameters for the Bs0 decays from our estimates of the moments, showing the potential of the proposed method. We identify a set of required measurements for a future precision measurement.