The objective of this research is to evaluate the effect of chemical crosslinking of gelatin electro-spun scaffolds using Glutaraldehyde (GTA) in an in vitro experience by comparing the water absorption or swelling of these structures by adjusting a mathematical model that illustrates the physical phenomenon and its mechanism. Gelatin (G) and cross-linked gelatin (GE) scaffolds were obtained by applying electrospinning techniques. A study of the swelling kinetics was carried out applying the Peppas model to physically explain this phenomenon. The results showed a higher swelling rate in the non-crosslinked (G) scaffolds which is explained by the value of parameter n indicating that in this scaffold water absorption is not only due to the physical explanation of Fick’s Law, but other effects are involved. This evidence was verified by SEM micrographs taken of each scaffold after 7 days of immersion in water. It is evident that the chemical cross-linking with glutaraldehyde strengthens the gelatin structure giving it greater resistance to hydrolytic degradation. These findings suggest that crosslinked gelatin could have great potential for biomedical applications such as tissue engineering scaffolds, controlled drug release materials and implantable medical devices.