Background/Objectives: The COVID-19 pandemic was a time of limited direct contact with other people. The aim of this study was to determine the role of positive orientation and sociodemographic variables in the feelings of global, social and emotional loneliness and to seek predictors for loneliness among students during the COVID-19 pandemic. Methods: The study was conducted on a group of 798 students at the University of Warmia and Mazury in Olsztyn (Poland) between January and March 2022. The empirical data were gathered with the following research tools: the Positive Orientation Scale and the De Jong Gierveld Loneliness Scale—DJGLS. Results: The study found a correlation (r = −0.370; p < 0.001) between positive orientation and emotional loneliness. The level of loneliness was significantly higher in students who greatly reduced their social contact, compared to those who reduced them moderately (p < 0.001). The intensity of social loneliness among women was lower (p < 0.001) than among men. Those who lived with their families or with a close companion felt less intense emotional loneliness (p < 0.001) than those who lived alone. Conclusions: A positive orientation, which manifests itself in a favourable opinion about oneself and in attaching weight to positive aspects of life, was found to be the main determinant of the feelings of global and emotional loneliness. However, it did not prove to be a predictor of social loneliness in the group of students under study.