Seasonal influenza poses a significant public health risk in many countries worldwide. Lower immunity and less influenza virus circulating during the pandemic has resulted in a significant increase in cases since the lifting of COVID-19 restrictions in 2022. The seasonal influenza vaccine offers effective protection and is safe for use in large numbers of the population. This article asserts that a moral obligation to vaccinate against influenza can be understood as an Institutional Duty of Rescue. The traditional understanding of the Duty of Rescue encounters issues with force and scope, making it difficult to apply to rescue cases in general, as well as being overdemanding for the individual agent. An Institutional view of the Duty of Rescue addresses these difficulties, looks at the wider context of rescue and leaves room for discussion on collective, preventative rescue measures. This makes the concept well suited to supporting a moral obligation to vaccinate against influenza as part of a collective effort on the part of institutional organisations.