A novel bioink and a dispensing technique for 3D tissue‐engineering applications are presented. The technique incorporates a coaxial extrusion needle using a low‐viscosity cell‐laden bioink to produce highly defined 3D biostructures. The extrusion system is then coupled to a microfluidic device to control the bioink arrangement deposition, demonstrating the versatility of the bioprinting technique. This low‐viscosity cell‐responsive bioink promotes cell migration and alignment within each fiber organizing the encapsulated cells.