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Given two Krein spaces $HH$ and $KK$, a (bounded) closed-range operator $C : HH a KK$ and a vector $y in KK$, the indefinite least-squares problem consists in finding those vectors $u inHH$ such that [ K{Cu - y}{Cu - y} = min_{xinHH}K{Cx - y}{Cx - y}. ] The indefinite least-squares problem has been thoroughly studied before with the assumption that the range of $C$ is a uniformly $J$-positive subspace of $KK$. Along this article the range of $C$ is only supposed to be a $J$-nonnegative pseudo-regular subspace of $KK$. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of $J$-normal projections onto the range of $C$.