Speech is an amazing resource for clinicians looking for markers of cognitive change, because it is an everyday tool that is strongly associated with other cognitive functions. However, analyzing speech can be challenging because of the high number of features and the relation between them. We conducted a systematic review to identify the speech features that can best detect subtle cognitive impairment in function of the type of speech task used in the studies. We also wanted to see how linguistic features were described in clinical papers, and we found out that the studies with the best results concerning linguistic markers of cognitive impairment are studies in which the linguistic variables are described in details, and in which the speech task performed by patients reflects a type of discourse in line with the goal of the study.