A pack of disposable multi-layered liner sheets suitable for covering non-planar surfaces of medical scanners having a long, hard to clean, bore or tunnel, particularly MRI scanners, to establish a sterile patient environment. Liner sheets are connected end-to-end in a stack by an adhesive or a linear array of perforations to respective succeeding and preceding sheets of the pack. In one embodiment, the pack is secured inside the bore by pegs on the top side of the pack engaging strategically placed clips attached to the bore wall. In other embodiments, the pack is secured inside the bore by opposing sides of a backing layer extending laterally beyond the liner sheets to engage a groove in guide rails affixed inside the bore.