Described is a process for the treatment of at least one zeolite having a pore size of less than or equal to 7 Å comprising at least a) a step for dealumination of said zeolite, b) a cationic exchange step using at least one cation other than H+, c) a step for treatment of said zeolite obtained in step b) in the presence of at least one molecular compound containing at least one silicon atom, and d) at least one heat treatment step. The present invention also concerns the preparation of a catalyst containing the zeolite treated in accordance with the treatment process the subject-matter of the invention and the use of said catalyst in a process for the oligomerization of an olefinic charge containing hydrocarbon molecules having from 2 to 12 carbon atoms per molecule.