An unbonded flexible pipe for offshore fluid transportation is disclosed. The pipe includes from inside and outwards a sealing sheath, a pressure armor layer, at least one tensile armor layer, at least one support layer and an extruded external protective polymer sheath. The at least one support layer includes at least one support strip which is helically wound with a winding angle α of at least about 80 degrees to the longitudinal center axis to provide strip windings along the length of the pipe and the at least one support strip includes a thermoplastic vulcanizate (TPV).