Method for converting a coaxial cable to a glass-fibre cable, the coaxial cable comprising: - an electrically conducting core extending centrally and longitudinally; - a coaxial, cylindrical, electrically conducting shield extending longitudinally; and - a dielectric extending between the core and the shield, whereby the method comprises the steps of: - heating the dielectric such that the dielectric at least partially softens and/or at least partially melts; and - deforming the at least partially softened dielectric and/or spreading melted material of the at least partially melted dielectric such that a passage is created, which passage extends longitudinally inside the cable and inside the shield and is sufficiently large and suitable for introducing therein at least one glass fibre, whereby the at least partially softened dielectric is deformed and/or melted material of the at least partially melted dielectric is spread by means of advancing longitudinally inside the cable and inside the shield a first member (9,10) provided for the purpose and configured therefor, wherein said first member comprises a first central cavity in which the core moves longitudinally, and the first member (9,10) is advanced inside the cable and inside the shield by means of an elongate second member (11,12,13) provided for the purpose and configured therefor, characterized in that the core is displaced radially to a non-central position inside the cable and inside the shield by further means which are situated between the first member and the second member and comprise a further cavity in which the core moves longitudinally, which further cavity is curved such that core is guided to the outermost part of passage and outside of second member. - an electrically conducting core extending centrally and longitudinally; - a coaxial, cylindrical, electrically conducting shield extending longitudinally; and - a dielectric extending between the core and the shield, - heating the dielectric such that the dielectric at least partially softens and/or at least partially melts; and - deforming the at least partially softened dielectric and/or spreading melted material of the at least partially melted dielectric such that a passage is created, which passage extends longitudinally inside the cable and inside the shield and is sufficiently large and suitable for introducing therein at least one glass fibre, whereby the at least partially softened dielectric is deformed and/or melted material of the at least partially melted dielectric is spread by means of advancing longitudinally inside the cable and inside the shield a first member (9,10) provided for the purpose and configured therefor, wherein said first member comprises a first central cavity in which the core moves longitudinally, and the first member (9,10) is advanced inside the cable and inside the shield by means of an elongate second member (11,12,13) provided for the purpose and configured therefor, characterized in that the core is displaced radially to a non-central position inside the cable and inside the shield by further means which are situated between the first member and the second member and comprise a further cavity in which the core moves longitudinally, which further cavity is curved such that core is guided to the outermost part of passage and outside of second member.