A medical suction pump for aspiration of bodily fluid has a suction pump housing, a fluid collection container held releasably on the housing, and at least one filling level sensor. The fluid collection container has a first side wall and at least one further side wall which together delimit at least one interior space for receiving the aspirated fluid. The at least one filling level sensor extends at least approximately parallel to the first side wall over at least a partial area of the fillable height of the interior space. The first side wall is place at least in part, and the cross section of the at least one interior space tapers vertically from the top downwards, at least over a partial area of the fillable height.