Neurogenerative disorders, like dementia, can affect a person's speech, language and as a consequence, conversational interaction capabilities. A recent study, aimed at improving dementia detection accuracy, investigated the use of conversation analysis (CA) of interviews between patients and neurologists as a means to differentiate between patients with progressive neurodegenerative memory disorder (ND) and those with (non-progressive) functional memory disorders (FMD). However, manual CA is expensive and difficult to scale up for routine clinical use. In this paper, we present an automatic classification using an intelligent virtual agent (IVA). In particular, using two parallel corpora of respectively neurologist-and IVA-led interactions, we show that using acoustic, lexical and CA-inspired features enables ND/FMD classification rates of 90.0% for the neurologist-patient conversations, and an encouraging 90.9% for the IVApatient conversations. Analysis of the significance of individual features show that some differences exist between the IVA and human-led conversations for example in average turn length of patients.