A disposable, low profile sensor overlay covering for use with biomedical sensors and which includes a framework of flexible component layers supporting an arrangement of electrostatic shielding, insulating, cushioning, and electrically conductive adhesive substrate components configured to form a protective covering encasing the sensor. The combination of component layers provides a means to stabilize the relative position of the sensor with respect to the skin and reduce the potential for sensor dislodgment. The mechanical and electrical configurations act in synergy to shield the sensor from external electrical fields and suppress movement artifact.