Evidence from studies in the global north has shown the beneficial effects of green spaces (GS) for our psychological and physiological health. In this study, we examine whether the connection between GS, wellbeing, and restoration is also applicable to low/middle-income countries (LMICs), using Tanzania as a case study. During May–July 2021, an online survey was conducted among 108 students and/or staff of the University of Dar es Salaam. Information was provided regarding exposure to campus’s green spaces (CGSs) measured by the NDVI and subjective questions relevant to accessibility/availability of CGS, duration and frequency of visits, as well as perceived greenness. Self-reported questions were also used for assessing the quality of CGSs and motives for using them. Mental wellbeing and restoration were measured with the Warwick–Edinburgh Mental Wellbeing Short Scale ((S)WEMWBS) and the Restoration Outcome Scale (ROS), respectively, while the Nature Relatedness Scale (NR-6) was used to determine the feelings and thoughts of our participants towards nature. Generalized linear regression indicated a positive relationship between the need to be close to nature and relaxation as motivators for visiting CG; (S)WEMWBS (p < 0.05). The same correlation was observed for the ROS (p < 0.01). The ROS was also positively associated with the NDVI (p < 0.01), age group of 18–25 (p < 0.05), and employment status (full time p < 0.01, part time p < 0.05). Our findings confirm that GS can be considered an effective tool for promoting SDG 3 and SDG 11 in LMICs. More importantly, urban planners should focus on the motives for using such places in order to make them inclusive and multifunctional.