A device for repair surgery of cylindrical organs, particularly ruptured tendons, is configured as a tubular sheath (T) made of a biocompatible and biodegradable polymer. The tubular sheath comprises an elastic fiber mesh formed by electrospinning of said polymer and has an inner wall surface and an outer wall surface substantially parallel thereto. One of said wall surfaces is comparatively rough (WR) and the other one of said wall surfaces is comparatively smooth (WS), with the tubular sheath having a Young elasticity modulus of about 2 to about 5 MPa and an elongation at break of about 50 to about 1,000%. Preferably, the polymer is a biodegradable polyester urethane block copolymer with poly-hydroxy-butyrate as a hard 10 segment and ε-caprolactone as a soft segment.