  In this paper we study the possibility of probing the low-energy part of the
spectrum of non-thermal electrons in galaxy clusters by detecting their
non-thermal bremsstrahlung (NTB) emission in the soft gamma ray band, using
instruments like e-ASTROGAM. Using the Coma cluster as a reference case, we
find that, for very low values of the minimum energy of the electrons, in
principle the NTB is detectable, but this situation is possible only for
conditions that can be maintained only for a short time compared to the cluster
lifetime. The possibility of constraining the low energy spectrum of
non-thermal electrons through NTB is therefore hard to achieve in next years.
