  In this work we investigate some features of the fermionic sector of the
supersymmetric version of the baby Skyrme model. We find that, in the
background of BPS compact Skyrmions, fermionic zero modes are confined to the
defect core. Further, we show that, while three SUSY generators are broken in
the defect core, SUSY is completely restored outside. We study also the effect
of a D-term deformation of the model. Such a deformation allows for the
existence of fermionic zero modes and broken SUSY outside the compact defect.
