Biopolymeric continuous core-sheath fibres, with an inner core of chitosan and alginate as the sheath, were fabricated for the first time without using a template. Hereby, the necessary conditions to achieve chitosan-alginate core-sheath fibre via a wet-spinning process are presented. SEM micrographs show the cylinder-shaped monofilament structure of the chitosan core surrounded by the alginate sheath. The coaxial fibres exhibit a 260% increase in ultimate stress and more than 300% enhancement in the Young's modulus compared to the alginate counterpart. Release profiles from the coaxial fibre were determined using a model component. The obtained results suggest that the fibres are likely to find applications as 3D tissue scaffolds capable of drug delivery.