  The notion of quasi $f$-ideals was first presented in $[14]$ which generalize
the idea of $f$-ideals. In this paper, we give the complete characterization of
quasi $f$-ideals of degree greater or equal to $2$. Additionally, we show that
the property of being quasi $f$-ideals remains the same after taking the Newton
complementary dual of a squarefree monomial ideal $I$ provided that the minimal
generating set of $I$ is perfect.
