A topological space X is called strongly σ-metrizable if X=U_{n\in ω} X_n for an increasing sequence (X_n)_{n \in ω} of closed metrizable subspaces such that every convergence sequence in X is contained in some X_n. If, in addition, every compact subset of X is contained in some X_n, n \in ω, then X is called super σ-metrizable. Answering a question of V.K. Maslyuchenko and O.I. Filipchuk, we prove that a topological space is strongly σ-metrizable if and only if it is super σ-metrizable.

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