The method for fabricating an optical fibre comprises the steps of inserting a primary optical fibre preform (11) having a first primary axis (x1) and an outer surface (111) into an overcladding tube (12) having a secondary primary axis (x2) and an inner surface (120), so that said outer surface and inner surface define an interior space (15); holding the primary preform (11) in a centrally inserted position within the overcladding tube (12) with said first and second primary axes (x1, x2) in substantial alignment with each other; supplying overcladding grain (13) into the interior space (15) that is limited at the lower end of the overcladding tube (12) by means of a closure (125); generating a condition of reduced pressure within the interior space (15) that is limited at the upper end of the overcladding tube (12) by means of an adjoiner (3), which holds the primary optical fibre preform (11) and the overcladding tube (12) in position; and heating the unprocessed secondary preform (1), that consists of the primary preform (11), the overcladding tube (12) and the overcladding grain (13), at its lower end to a softened state and simultaneously or subsequently drawing an optical fibre therefrom.