In a former article, the first author introduces and analyzes quasi-conjugative relations. In this paper, following Jiang Guanghao and Xu Luoshan's concepts of finitely conjugative and finitely dual normal relations on sets, the concept of finitely quasi-conjugative relations is introduced. A characterization of finitely quasi-conjugative relations is obtained. Particulary we show when the anti-order relation $\nleq$ is finitely quasi-conjugative.