Magnetization hysteresis loop M (H) measurements performed on a single crystalline Ba 0.63 K 0.37 BiO 3 superconducting thick film reveal pronounced sample geometry dependence of the "second magnetization peak" (SMP), i.e. a maximum in the width of M (H) occurring at the field H SMP (T ). In particular, it is found that the SMP vanishes decreasing the film dimension. We argue that the observed sample geometry dependence of the SMP cannot be accounted for by models which assume a vortex pinning enhancement as the origin of the SMP. Our results can be understood considering the thermomagnetic instability effect and/or non-uniform current distribution at H < H SMP in large enough samples.