The invention relates to a textile vascular prosthesis (1) with a circulatory pleating formed by folds (4), and with an arch-shaped longitudinal flexion (2) extending over at least a partial section and formed by asymmetric shortening gathering of the prosthesis wall by means of at least one longitudinal seam (7) extending along the partial section. The at least one longitudinal seam gathers the prosthesis wall while preserving the accordion-like structure (4) and the compacted state of the pleating (4) in the longitudinal direction.