This study reports the static and dynamic magnetic characterization of two mononuclear tetrahedral Co complexes, [Co{PrP(E)NP(E)Pr}], where E = S (CoS) and Se (CoSe), which behave as single-ion magnets (SIMs). Low-temperature (15 K) single-crystal X-ray diffraction studies point out that the two complexes exhibit similar structural features in their first coordination sphere, but a disordered peripheral Pr group is observed only in CoS. Although the latter complex crystallizes in an axial space group, the observed structural disorder leads to larger transverse magnetic anisotropy for the majority of the molecules compared to CoSe, as confirmed by electron paramagnetic resonance spectroscopy. Static magnetic characterization indicates that both CoS and CoSe show easy-axis anisotropy, with comparable D values (∼-30 cm). Moreover, alternating-current susceptibility measurements on these Co complexes, magnetically diluted in their isostructural Zn analogues, highlight the role of dipolar magnetic coupling in the mechanism of magnetization reversal. In addition, our findings suggest that, despite their similar anisotropic features, CoS and CoSe relax magnetically via different processes. This work provides experimental evidence that solid-state effects may affect the magnetic behavior of SIMs.