question: An increment in mental health problems related to social isolation strategies was evinced in several populations, however few investigations address this problem in students. This study aimed to analyze the relationship between insomnia, worry, coping strategies, and academic engagement in subjects pursuing a university degree in Argentina during the first month of compulsory social isolation against the COVID-19 pandemic. Self-report online questionnaires were administered to 584 participants: Insomnia Severity Index, Penn State Worry Questionnaire, Coping Responses Inventory, Utrecht Work Engagement Scale for Students. Demographic data was recorded. Statistics included bivariate and multivariate techniques. Prevalences of 45% for subthreshold insomnia, 23% for moderate insomnia, and 4% for severe insomnia were found. The severe insomnia group presented higher levels of worry and cognitive avoidance strategies. Insomnia was also associated with daytime concerns. The group without insomnia was more vigorous in their academic engagement. Being physically active was associated with lower sleep problems. Insomnia prevalence is high in socially isolated university students. Cognitive avoidance coping strategies are associated with worry, which leads to an alert state that makes sleep difficult. These findings should be taken into account by academic institutions to define their pedagogic strategies.