A structure for a catheter sleeve is characterized by a particularly high flexural elasticity. The tubular structure has at least one S-shaped profiled strip which is arranged along the structure in a helix. The at least one S-shaped profiled strip has a U-shaped longitudinal section in the region of each side edge. A respective U-shaped longitudinal section of the profiled strip engages with an opposing, U-shaped longitudinal section of a directly adjoining turn of the helix of the same profiled strip or of a further S-shaped profiled strip adjoining in the helix. The structure may further be used in a corresponding catheter.