The temporomandibular joint is one of the most frequently used joints of the human body. Its malfunction can severely influence patient’s well-being. Since the temporomandibular joint disc plays a major role in its functioning, especially in load distribution within the joint, it appears to be a crucial element to understand. This dataset aims to improve understanding of the tissues within close in vivo conditions quantifying eigenstrains through a relaxation process. Local digital image correlation were used to quantify 5 samples’ deformation through a detailed analysis of approximately 30 images, recorded for approximately one hour, per disc. Thanks to a backward time approach combined to an analytical model, eigenstrains were assessed on discs. For the first time, the presence of complex initial strain fields within cylindrical specimens of porcine temporomandibular joint discs was quantified, confirming indications from literature. Digital image analysis revealed the partial internal stress release through specimen self-deformation. Close to zero in central part, it reached approximately 13% radial strain in the outer ring within a characteristic relaxation time close to 530 s. The principal strains’ distribution agrees with the alignment of the collagen fibers in the central part of the discs revealed in many works. It led to deduce that, in the central area of the discs, the matrix undergoes a radial compression within physiological conditions to compensate the daily loading stresses. Therefore, this work improves understanding of the tissues in vivo conditions highlighting extraction cut effect on temporomandibular joint disc’s tissues mechanical state.