GelMA-CBP inks were formulated, showing adequate rheological properties for extrusion 3D bioprinting at low concentrations of both components at a physiologically relevant temperature of 37 ºC. The inks presented both shear thinning and thixotropic behavior with near instant and complete recovery, two properties that are fundamental to facilitating extrusion 3D bioprinting and high cell viability. The ink rheological properties were determined by the concentration of both GelMA and CBP, with the latter having a greater impact on ink rheology. CBP not only acts as a rheological modifier but also improves the mechanical properties of the crosslinked material, which was reflected in an increase in the G' values compared to GelMA without CBP. The concentration of both GelMA and CBP affected the printability. Small variations in CBP content (from 0.1% to 0.5%) resulted large improvements in printability, with 0.5% being the optimal concentration for the concentration of LAP used. It was possible to print complex constructs with high shape fidelity at low concentrations of GelMA (1%-7%) and CBP (0.5%) at 37 ºC. 3T3 fibroblast-laden cast constructs were obtained with a cell viability above 90%. The developed material was 3D bioprinted with good cell viability at days 3, 7, and 14 and adequate morphology.