Let $(R,\fm)$ be a commutative Noetherian local ring and $M$ be a non-zero finitely generated $R$-module. We show that if $R$ is almost Cohen-Macaulay and $M$ is perfect with finite projective dimension, then $M$ is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient conditions of $M$ to be an almost Cohen-Macaulay module by using $\Ext$ functors.
