The present invention concerns an apheresis material or adsorbant and a method for removing, depleting or inactivating MIF (macrophage migration inhibitory factor) from blood, blood plasma, blood serum or other body fluids. The present invention is also concerned with the use of said apheresis material or adsorbant. In order to prepare a novel means and novel method, which can reduce the activity or amount of the mediator for sepsis and septic shock, MIF, in a patient's body fluid in a manner which is more pleasant and tolerable for the patient than prior art means and methods, the invention proposes that the apheresis material or adsorbant comprises a solid carrier material on the surface of which MIF-binding molecules or functional groups are immobilized. The method proposes that the apheresis material or adsorbant be brought into contact extracorporeally with the blood, blood plasma, blood serum or other body fluids.