Pressure application garment comprising at least one active part (3, 4, 5) for applying pressure to at least one body part of a subject, comprising at least one bladder (31, 41, 51) fillable with a fluid so as to obtain a homogeneous positive pressure applied to the whole of the corresponding at least one body part of the subject, for each fillable bladder (31, 41, 51), a volume for receiving a fluid is delimited by a flexible layer that is impervious to said fluid, said pressure application garment comprising: - for the or each active part (3, 4, 5), an outer wall and an inner wall each delimiting the at least fillable bladder (31, 41, 51), and each comprising the flexible layer impervious to the fluid that fills the bladder (31, 41, 51) said inner wall further comprising at least one sheet of a fabric,for the or each active part (3, 4, 5), at least one interface pressure sensor, and - a control unit comprising a receiving module configured to receive the interface pressure measurements from the one or more interface pressure sensors of the or each active part (3, 4, 5), and a driving module configured to drive, based on the interface pressure measurements received by the receiving module for each active part, at least one injection device (63, 64, 65) for injecting fluid into the one or more fillable bladders (31, 41, 51) of the active part(s), so as to maintain a predefined interface pressure value for the or each active part, characterized in that: - said inner wall of the or each active part (3, 4, 5) is intended to be directed towards the corresponding body part of the subject and is thus in contact with the body of the subject, - said pressure application garment comprises in at least one area of at least one active part (3, 4, 5) in contact with the body of the subject, the at least one sheet of a fabric being made of at least three superimposed layers: ∘ a lower layer that is closest to the body part of the subject, ∘ an upper layer, and ∘ an intermediate layer, said intermediate layer being between the lower layer and the upper layer and having elasticity in the transverse direction, enabling at least the limitation of the deformation of the lower layer when the upper layer is deformed. - for the or each active part (3, 4, 5), an outer wall and an inner wall each delimiting the at least fillable bladder (31, 41, 51), and each comprising the flexible layer impervious to the fluid that fills the bladder (31, 41, 51) said inner wall further comprising at least one sheet of a fabric,for the or each active part (3, 4, 5), at least one interface pressure sensor, and - a control unit comprising a receiving module configured to receive the interface pressure measurements from the one or more interface pressure sensors of the or each active part (3, 4, 5), and a driving module configured to drive, based on the interface pressure measurements received by the receiving module for each active part, at least one injection device (63, 64, 65) for injecting fluid into the one or more fillable bladders (31, 41, 51) of the active part(s), so as to maintain a predefined interface pressure value for the or each active part, - said inner wall of the or each active part (3, 4, 5) is intended to be directed towards the corresponding body part of the subject and is thus in contact with the body of the subject, - said pressure application garment comprises in at least one area of at least one active part (3, 4, 5) in contact with the body of the subject, the at least one sheet of a fabric being made of at least three superimposed layers: ∘ a lower layer that is closest to the body part of the subject, ∘ an upper layer, and ∘ an intermediate layer, said intermediate layer being between the lower layer and the upper layer and having elasticity in the transverse direction, enabling at least the limitation of the deformation of the lower layer when the upper layer is deformed. ∘ a lower layer that is closest to the body part of the subject, ∘ an upper layer, and ∘ an intermediate layer, said intermediate layer being between the lower layer and the upper layer and having elasticity in the transverse direction, enabling at least the limitation of the deformation of the lower layer when the upper layer is deformed.