The application provides a thermo-acoustic protection structure for a rotating machine. The thermo-acoustic protection structure includes an upper wall and a parallel lower wall, and between them is placed at least one acoustic absorbent material. The upper wall and the lower wall being connected with at least one connecting element of an extended form. The connecting element presenting, in transverse section, at least one portion, curved or rectilinear, that is non-orthogonal to the two walls. A length of the connecting element between the upper wall and the lower wall is greater than a distance between the upper wall and the lower wall. The connecting element further presents in transverse section at least one edge.