Using naturalistic spoken narratives to investigate speech processes and comprehension is becoming increasingly popular in experimental hearing research. Yet, little is known about how individuals engage with spoken story materials, and how listening experiences change with age. Using a scale previously developed to measure narrative absorption for reading, we investigated absorption in the context of listening to spoken stories, explored predictive factors for engagement, and examined the utility of the scale to discriminate between different types of auditory materials. Adults aged 20-78 years (N = 216) participated in an online experimental study. Participants listened to one of ten stories that were intended to be engaging to different degrees and rated the story in terms of absorption and enjoyment. Participants of different ages rated the stories similarly absorbing and enjoyable. Further, higher mood scores predicted higher absorption and enjoyment ratings. Factor analysis showed scale items approximately grouping according to the original scale dimensions, suggesting that absorption and enjoyment experiences may be similar for written and spoken stories, although certain items discriminated less effectively between stories intended to be more or less engaging. The present study provides novel insights into how adults of different ages engage in listening and supports the use of naturalistic speech stimuli in the context of hearing research. We discuss future directions to further refine the narrative absorption scale to make it more appropriate for auditory materials.