It has been reported that protein misfolding and aggregation are a hallmark of several inflammatory diseases. In vitro studies show that very small amounts of albumin are able to restore the physiologic activities of endogenous circulating proteins that had been aggregated in multimeric form during oxidative stress. Recently, the investigators have reported that in vitro albumin restores antimicrobial and anti-inflammatory effects of some chromogranin A-derived peptides. The investigators therefore search to test in vivo, in critically ill patients with severe systemic inflammation requiring norepinephrine infusion, whether therapeutic albumin infused at a low and continuous dosage may modify mortality (primary purpose) and morbidity (secondary purposes) in comparison with intermittent high dosage albumin infusion.