Background: Cervical cancer (CC) is currently the fourth most common cancer among women. There are several factors which have, in recent times, posed a threat to the recognition and acceptance of CC screening in Nigeria. This study was undertaken to assess the predictors of knowledge of female undergraduates at Babcock University, Ogun State, Nigeria, on CC screening and the level of acceptance readiness. Method:This study was a descriptive cross-sectional survey of 345 female undergraduates at Babcock University, Ogun State, Nigeria, using a self-administered structured questionnaire. Data collected were analysed using the Statistical Package for the Social Sciences (SPSS) version 23 software. Hypotheses were tested using Pearson productmoment correlation at p < 0.05 level of significance.Results: This study revealed that majority of the respondents have a substantial awareness and knowledge of CC screening (68.4%). The study suggested that health talk and level of exposure might be responsible for the good knowledge. While 47.5% were ready to undergo CC screening, 76.2% were ready to undergo the screening if a health professional performed the procedure, and 66.1% will tell their family members to go for screening. However, 49.9% reported not having the correct information on CC screening. A significant correlation was found between knowledge and acceptability of CC screening among the students (r = −0.366, p ˂ 0.05). Also, this study suggested that the age of female undergraduates is correlated with acceptance of CC screening (r = −0.221, p ˂ 0.05). Conclusion:As the acceptability of CC screening was high, CC screening facilities could be made available for the students. Similarly, educational interventions to improve awareness of CC screening among this population are warranted, as over one-third reported they did not have the correct information on CC screening.