  By using a variant Property $(P_q)$ of Catlin, we discuss the relation of
small set of weakly pseudoconvex points on the boundary of pseudoconvex domain
and compactness of the $\overline{\partial}$-Neumann operator. In particular,
we show that if the Hausdorff $(2n-2)$-dimensional measure of the weakly
pseudoconvex points on the boundary of a smooth bounded pseudoconvex domain is
zero, then the $\overline{\partial}$-Neumann operator $N_{n-1}$ is compact on
$(0,n-1)$-level $L^2$-integrable forms.
