The trend within the Swedish healthcare system is to reduce the duration of hospital care. This means that a patient who is discharged to their home after critical illness is highly likely to be functionally impaired, and therefore, requires care-giving assistance from a family member. The aim of this study was to generate a theoretical model with regard to relatives’ coping when faced with the situation of having an adult next-of-kin recovering at home after critical illness. The design incorporated grounded theory methodology. Four coping strategies exhibiting different characteristics were identified: volunteering, accepting, modulating and sacrificing. Factors determining the choice of coping strategy were the physical and psychological status of the relative, previous experience of ICU-care and the psychological status of the patient. The theoretical model described in this article can contribute to expanding healthcare professionals’ understanding of the coping strategies of relatives during recovery, but also provide inspiration for social action to be taken.