The invention relates to an endotoxin-binding lipopeptide selected from the group consisting of polymyxins, polymyxin derivatives, polymyxin analogues, prodrugs thereof and pharmaceutically acceptable salts thereof, and also relates to a preparation for parenteral administration comprising a lipopeptide of this type, for prophylaxis or for treatment of diseases and conditions caused by endotoxemia, by i) parenterally administering a bolus of the lipopeptide to achieve a lipopeptide serum concentration of 0.01 μg/ml to 0.8 μg/ml and ii) maintaining this lipopeptide serum concentration by parenterally administering the lipopeptide over a specifiable period of time.
