A covering (2) for a prosthesis (1), said prosthesis (1) having a rear surface which, when applied, is faced towards the person on whom the prosthesis (1) is applied, said covering (2) having a fixing system (4;
- 3) to said prosthesis (1), said fixing system providing a plurality of teeth or petals (4), realized on said covering (2), said teeth or petals (4) being so configured as to be foldable, so that when the covering (2) is arranged on said prosthesis (1) said teeth or petals (4) are coupled with said rear surface of the prosthesis (1), by securing means (5) for securing the teeth or petals (4) folded over said prosthesis (2), wherein on at least two or on each tooth or petal (4) a through hole (18) or at least one slot-shaped incision, for example single or double, is obtained, said through hole (18) or at least one slot-shaped incision being adapted to the passage of at least one thread, in particular at least one suture thread.