A bstract 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.