Dance or rhythmic movement-based training has demonstrated significant efficacy in addressing a range of motor and cognitive deficits associated with neurodegenerative diseases like Parkinson's and Alzheimer's diseases. Leveraging both human and non-human animal behavioral and neurobiological evidence, I hypothesize a possible untapped role of dance training in mitigating impairments in the motor control of speech, a complex sensorimotor behavior affected in these conditions. Here, this hypothesis is supported by an in-depth examination of motor speech deficits in Parkinson's and Alzheimer's diseases, at a behavioral, physiological, and neural level. Additionally, literature on the impact of dance training on behaviors and brain pathways possibly relevant to speech motor control in populations with neurodegenerative diseases is thoroughly reviewed. Synthesizing these findings, I propose repurposing dance as a novel treatment for motor speech deficits and outline specific experiments to test this hypothesis. By comprehensively investigating the full spectrum of the effects of a motor-based training, i.e., dance, on often overlooked motor-based behaviors, such as speech, we may uncover novel therapeutic avenues of a practice that has already shown promising implications.