A housing for a lubricant supply device for supplying a consumer with a lubricant includes a storage space for the viscous medium and a pump space configured to contain a conveying pump for pumping the viscous medium from the storage space to a medium outlet. The storage space is at least partially defined by a side wall, a base wall and a cover wall, and the supply device also includes an outer wall overlying a portion of the storage space side wall and defining with the storage space side wall a first intermediate space. The storage space side wall includes a first opening providing fluid communication between the storage space and the intermediate space.