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A space  X  is said to have the  set-star-K-Menger property  if for each nonempty subset  A  of  X  and for each sequence (  n   :  n  ∈ ℕ) of collections of open sets in  X  such that for each  n  ∈ ℕ,   A   ⊆ ⋃   n  , there is a sequence ( K n   :  n  ∈ ℕ) of compact subsets of  X  such that  A  ⊆⋃   n  ∈   N$\begin{array}{} \bigcup\limits_{n \in \mathbb{N}} \end{array} $    St( K n  ,   n  ). In this paper, we prove that:

A note on set-star-K-Menger spaces