Current statistics show that the attrition rate among PhD candidates is high (i.e. from 30% to 40% depending on the discipline and the country). This high-attrition rate has an impact on both economic (e.g. negative impact on the return-on investment in doctoral education) and human levels (e.g. negative consequences on candidates' self-esteem and well-being). Therefore, it seems important to better understand and to prevent the attrition among PhD candidates. Based on the needs--supplies fit theory, the present research focused on the perception of a fit between several PhD candidates' work-related needs in terms of employment quality and the characteristics of their job to explain their intention to quit their PhD thesis process. This study was based on 160 Belgian PhD candidates, viewed as traditional workers in the Belgian doctoral system, who were still in their thesis process. Data were collected in one Belgian university. Globally, results shown that only the fit perception between the needs for fairness/recognition from the supervisor and the current job situation was significantly associated with lower intention to quit. Thus, we encourage Universities to develop and boost fairness and recognition from thesis supervisors through notably specific training programmes including supportive and justice-based practices.