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Abstract We propose an approach for measuring the moments of the hadronic invariant mass distribution in semileptonic B s 0 $$ {B}_s^0 $$ meson decays using a sum-of-exclusive technique. Using the present and foreseen knowledge about exclusive semileptonic B s 0 $$ {B}_s^0 $$ decays, we estimate the uncertainties on moments of the kinematic distribution. Semileptonic B s 0 $$ {B}_s^0 $$ decays can be described, as their B 0 counterpart, using the Heavy Quark Expansion (HQE), with the only difference between the B s 0 $$ {B}_s^0 $$ and B 0 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 B s 0 $$ {B}_s^0 $$ 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.