The device (1) of a coating comprising a mat (2) and a housing (12), the mattress (2) comprising a core (6) and a cover (7) provided with an opening (8) for the insertion of the core (6) in the cover (7); the cover (7) comprises an internal pocket (10) is coupled, in the manner of a flap, the cover (7) by a link (11) of the pivot hinge axis substantially parallel to the closure line formed by the portion of the fastener (9) to slide extending along a longitudinal side (5) of the mattress (2), said pocket (10) is housed in a removable manner, the housing (12), said housing (12) having a body (13), delimiting a chamber (14) able to communicate with the outside.