[eng] In this paper we present an example of a fuzzy $\psi$-contractive sequence in the sense of D. Mihet, which is not Cauchy in a fuzzy metric space in the sense of George and Veeramani. To overcome this drawback we introduce and study a concept of strictly fuzzy contractive sequence. Then, we also make an appropriate correction to Lemma 3.2 of [V. Gregori and J. Mi\~{n}ana, {\it On fuzzy $\psi$-contractive sequences and fixed point theorems}, Fuzzy Sets and Systems 300 (2016), 93-101].