This document lays out the design and development of a specialized device aimed at monitoring the eye movements of premature babies, which creates an opportunity to create better sleep-monitoring systems. Monitoring sleep has great significance, especially for premature babies, because it allows for the adaptation of care to accommodate for better and more sleep. Different sleep stages can be identified, but the identification does differ for adults compared to premature babies. Different characteristics including brain activity, heart rate, respiration, eye movement and face and body movements are linked to those sleep stages. Eye movement is a characteristic that could be used more optimally for the creation of a sleep-monitoring system. Eye movement can be tracked using different methods, but electrooculography shows the greatest promise. For this specific method, different options exist concerning electrode placement and materials. The use of this system for premature babies during sleep also creates limitations related to the fragility of the skin of prematurely born babies. Furthermore, these babies normally lie in the Neonatal Intensive Care Unit, creating additional context-specific considerations. Different research methods were used, resulting in a complete picture of the steps taken after premature birth occurs. These steps are portrayed in a scenario. The requirements and wishes drawn from these are used to develop ideas. During the development, a choice was made to create two parts for the device, namely the shell and the electronics module. In the final design, the shell contains specialized electrode places, named snap-rings, as well as features that create adaptability and additional details to accommodate the use of multiple devices that are already being used on premature babies. The electronics module includes an electrode configuration that can be placed into the snap-rings in the shell. The electrode protrudes the snap-ring and is pushed onto the skin. The force needed to place the electrode is decreased by using a material with a low Young's modulus, ensuring contact between the electrode and the skin without causing damage to it. This novel configuration enables the use of dry electrodes, eliminating the need for gels and adhesives. Some recommendations are given, which concern further the development of the device, the eventual certification and the embedding of the device within a system that monitors sleep. Overall, a complete overview of the concept design of a device that can monitor eye movement of premature babies is given, which creates an opportunity for the improvement of sleep monitoring systems for these babies.