This invention relates to adsorbents and methods for highly selective removal of anti-von Willebrand Factor-cleaving protease antibodies (“anti-vWF-cp-abs”) from human plasma using human von Willebrand Factor-cleaving protease (“hvWF-cp”) or fragments thereof as affinity ligands. The adsorbents can be used for treating disorders associated with the occurrence of anti-vWF-cp-abs in patients, such as thromboembolic diseases.