The present disclosure refers to an elasticized structure and a method for making such an elasticized structure. The elasticized structure, includes a first piece and at least one second piece. The first piece is superimposed and fixed onto the second piece in at least a first fixing zone and at least a second fixing zone. The second piece is at least partially made of an elastic material and has an internal zone comprised between the first fixing zone and the second fixing zone. The elasticized structure is able to assume a tensioned position and a rest position. In the rest position, the first piece has a hump comprised between the first fixing zone and the second fixing zone and flat parts alongside said first fixing zone and said second fixing zone, respectively.