Let {$varepsilon_i:-{infty}$<i<$infty$} be a strictly stationary sequence of linearly positive quadrant dependent random variables and $sumlimitsfrac_{i=-{infty}}^{infty}|a_i|$<$infty$. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form $X_k=sumlimitsfrac_{i=-{infty}}^{infty}a_{i+k}{varepsilon}_i,k{geq}1$