The invention relates to a method for producing a supported catalyst system, comprising the following steps: A) reacting an inorganic support material with an organometallic compound (I); B) reacting the support material obtained according to A) with a metallocene complex and a metallocenium ion-forming compound and C) subsequent reaction with an organometallic compound (II), the resulting supported catalyst or its precursor being brought into contact with 0.1 to less than 10 ml per mol of a Lewis base per mol of metallocene complex.
