The invention relates to a rope made of textile fiber material, comprising a rope core and a sheath surrounding the rope core, wherein the sheath, an intermediate sheath located between the sheath and the rope core and/or a reinforcement located between the sheath and the rope core comprise(s) a twine of excess length, the twine of excess length being formed in that it comprises at least a first yarn and a second yarn which are twisted together, the first yarn having a greater length than the second yarn, measured in an untwisted state of a unit length of the twine. In a further aspect, the invention relates to a method of manufacturing a twine of excess length for the above-mentioned rope.