A telecommunication cable is equipped with at least one optical fiber coated by a tight buffer layer made from a polymeric material having an ultimate elongation equal to or lower than 100% and an ultimate tensile strength equal to or lower than 10 MPa. The above combination of features of the polymeric material forming the buffer layer provides an optical fiber which is effectively protected during installation operations and during use, and at the same time can be easily stripped by an installer without using any stripping tools, simply by applying a small pressure with his fingertips and a moderate tearing force along the fiber axis.