Let $\mathcal{C}$ be a relative faithful category on a category $\mathcal{S}$ with inductive limits. The aim of the present paper is to construct a relative faithful category $\mathcal{C}^{\prime}$ on $\mathcal{S}$ containing $\mathcal{C}$ such that $\mathcal{C}^{\prime}$ possesses the inductive limits, these limits being preserved by the structural functor $\mathcal{F}^{\prime} : \mathcal{C}^{\prime} \to \mathcal{S}$.