Swinney received his BA in Psychology at Indiana University in 1968, his MA in Language Disorders, Speech Pathology and Audiology (1969), and his PhD in Psycholinguistics and Cognitive Psychology at the University of Texas at Austin (1974).
Swinney's faculty positions included: Tufts University (Department of Psychology), Rutgers University (Psychology and Cognitive Sciences Departments), the City University of New York (Programs in Linguistics, Psychology, Speech and Hearing Science) and University of California, San Diego (Chair, Department of Psychology).