For several decades now, a debate about the desirability of immortality has raged on in philosophy of death circles. While these circles and their debates are found primarily within the analytic tradition, Martin Heidegger, who famously introduces the notion of human life (or something like it) as essentially ‘Being-towards-death’, has much to contribute. At first glance, this idea seems to agree with the views of ‘immortality curmudgeons’ like Samuel Scheffler, and, in fact, on the rare occasions that Heidegger is mentioned in the related literature, his name is usually placed on a list of likely pessimists about immortality. Upon closer inspection, however, it turns out that Heidegger's understanding of the relationship between death and meaning allows for a rather uncurmudgeonly view of immortality. In this paper, I argue that the often-misunderstood Heidegger has important supportive insights to offer when it comes to the prospects of an unending life.