Diabetic foot ulcers are a common complication of diabetes mellitus and can lead to severe infections and delayed wound healing. The development of effective wound dressings is crucial to promoting faster healing and preventing infections. This investigation aims to fabricate and characterize electrospun meshes composed of poly(ε-caprolactone) and collagen, extracted from tilapia skin. Additionally, tetracycline and chloramphenicol were incorporated into the dressings to explore their potential to combat wound infections. A comprehensive characterization was carried out, covering the physical structure, chemical composition, and potential application-related properties of the materials by the combination of scanning electron microscopy, Fourier transform infrared (FTIR), mechanical analysis, cell viability, live/dead staining, and microbiological analysis. Changes in mechanical properties were observed, related to the morphology of the membranes; the presence of the active molecules is evidenced by FTIR analysis; cell viability above control was observed for all the prepared membranes, and they were active in antimicrobial tests, suggesting that the developed materials have the potential to be further explored as wound dressings or scaffolds for diabetic foot ulcers.