According to H. Cappelen and E. Lepore, all context-sensitive expressions belong to the so-called Basic Set comprising indexicals and contextuals. This claim is supposed to be justified by certain tests. The paper deals with one of them, namely the test based on inter-contextual disquotational indirect reports. It is claimed that, contrary to appearances, it is not capable to qualify all indexical expressions as context-sensitive. A new version of the test proposed in the present paper removes this drawback. It leads to the consequence, however, that there are context-sensitive expressions that do not belong to the original Basic Set.