In a recent paper [Mor, B., Mosheiov, G., 2012. Scheduling a maintenance activity and due-window assignment based on common flow allowance. International Journal of Production Economics 135, 222–230], a scheduling problem with job-dependent due-window based on common flow allowance is studied where the scheduler has the option to perform a maintenance activity to improve the processing times of the following jobs. However, as shown in this note, there exists an error in the paper. We will show the error by a counter-example, and correct it in this note.