A filter for the removal of substance from blood or blood components, particularly for the removal of leukocytes and platelets, comprises a polymeric filter material having a polyurethane coating, wherein the polyurethane has a number average molecular weight not higher than 10,000 Da the polyurethane is preferably obtained by the addition reaction of an aliphatic diisocyanate, polyethylene glycol and butandiol, by using an excess of the butandiol, whereby the addition reaction is stoichiometrically unbalanced.