Bioprinting is a key technique to fabricate cell-laden volumetric constructs with controlled geometry. It can be used not only to replicate the architecture of a target organ but also to produce shapes that allow for the mimicry, in vitro, of specific desired features. Among the various materials suitable to be processed with this technique, sodium alginate is currently considered one of the most appealing because of its versatility. To date, the most widespread strategies to print alginate-based bioinks exploit external gelation as a primary process, by directly extruding the hydrogel-precursor solution into a crosslinking bath or within a sacrificial crosslinking hydrogel, where the gelation takes place. In this work, we describe the print optimization and the processing of Hep3Gel: an internally crosslinked alginate and ECM-based bioink for the production of volumetric hepatic tissue models. We adopted an unconventional strategy, by moving from the reproduction of the geometry and the architecture of liver tissue to the use of bioprinting to fabricate structures that can promote a high degree of oxygenation, as is the case with hepatic tissue. To this end, the design of structures was optimized by employing computational methods. The printability of the bioink was then studied and optimized through a combination of different a priori and a posteriori analyses. We produced 14-layered constructs, thus highlighting the possibility to exploit internal gelation alone to directly print self-standing structures with finely controlled viscoelastic properties. Constructs loaded with HepG2 cells were successfully printed and cultured in static conditions for up to 12 days, underlining the suitability of Hep3Gel to support mid/long-term cultures.