A kit for dispensing disposable stethoscope covers and other instrument covers is provided. The kit may include a cartridge and a dispenser for automatic touch-free dispensing of disposable stethoscope covers. The kit further includes a first spool having a roll of backing member with disposable stethoscope covers disposed thereon and a second spool for receiving the spent backing member after a disposable stethoscope cover has been removed, self-contained within the cartridge. The cartridge is inserted within the dispenser so that a user may insert a stethoscope head through a window of the dispenser to attach to a disposable stethoscope cover. Alternatively, the cartridge or cassette may be comprised of disposable instrument covers so that a user may insert the instrument near or through the window of the dispenser for application of the instrument cover directly to the instrument. The kit may further include a proximity sensor for detecting a user.