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In this work we consider a general function for the $c^{2}$ term that appearsin the conventional expression for the holographic dark energy in a FLRW curvedspacetime. The cut-off prospective is inspired in the apparent horizon length.By exploring the slowly varying condition for the $c^{2}$ term, we obtain arange of validity for this holographic proposal. Under these considerations canbe found that this holographic cut-off is adequate to describe the late cosmicevolution. Additionally, by considering some values constrained with the use ofobservational data for some cosmological parameters in the context of darkenergy models, such as the deceleration parameter or the parameter state, canbe shown that this holographic model remains {\it close} to the $\Lambda$CDMmodel.

A holographic cut-off inspired in the apparent horizon