Objective: Drinking more and drinking to cope increase undergraduates' likelihood of experiencing alcohol-related problems (ARP; e.g., driving intoxicated). In accordance with stress-coping models of addiction, anxiety about COVID-19 may motivate undergraduates to drink to cope, leading them to experience more ARP. However, this hypothesis has not been tested. Participants and methods: During fall 2020, 358 undergraduate drinkers (M[subscript age] = 21.18; 69.80% cis-women; 62.30% White) provided data regarding COVID-anxiety, alcohol consumption, drinking to cope, and ARP during an annual student survey. Results: Mediation analysis controlling for alcohol consumption revealed greater COVID-anxiety predicted higher levels of drinking to cope; in turn, higher levels of drinking to cope were associated with more ARP. Additionally, the positive relationship between greater COVID-anxiety and experiencing more ARP was explained entirely by higher levels of drinking to cope. Conclusion: During the pandemic and beyond, university prevention and intervention initiatives should target coping motives for alcohol use to help students avoid ARP.