Chronic wounds represent a serious worldwide concern, being often associated with bacterial infections. As the prevalence of bacterial infections increase, it is crucial to search for alternatives. Essential oils (EOs) constitute a promising option to antibiotics due to their strong anti-inflammatory, analgesic, antioxidant and antibacterial properties. However, such compounds present high volatility. To address this issue, a drug delivery system composed of coaxial wet-spun fibers was engineered and different EOs, namely clove oil (CO), cinnamon leaf oil (CLO) and tea tree oil (TTO), were loaded. Briefly, a coaxial system composed of two syringe pumps, a coagulation bath of deionized water, a cylindrical-shaped collector and a coaxial spinneret was used. A 10 % w/v polycaprolactone (PCL) solution was combined with the different EOs at 2 × minimum bactericidal concentration (MBC) and loaded to a syringe connected to the inner port, whereas a 10 % w/v cellulose acetate (CA) solution mixed with 10 % w/v polyethylene glycol (PEG) at a ratio of 90:10 % v/v (to increase the fibers' elasticity) was loaded to the syringe connected to the outer port. This layer was used as a barrier to pace the release of the entrapped EO. The CA's inherent porosity in water coagulation baths allowed access to the fiber's core. CA was also mixed with 10 % w/v polyethylene glycol (PEG) at a ratio of 90:10 % v/v (CA:PEG), to increase the fibers' elasticity. Microfibers maintained their structural integrity during 28 days of incubation in physiological-like environments. They also showed high elasticities (maximum elongations at break >300 %) and resistance to rupture in mechanical assessments, reaching mass losses of only ≈ 2.29 % - 57.19 %. The EOs were released from the fibers in a prolonged and sustained fashion, in which ≈ 30 % of EO was released during the 24 h of incubation in physiological-like media, demonstrating great antibacterial effectiveness against Staphylococcus aureus, Staphylococcus epidermidis, Escherichia coli and Pseudomonas aeruginosa, the most prevalent bacteria in chronic wounds. Moreover, microfibers showed effective antioxidant effects, presenting up to 59 % of reduction of 2,2-diphenyl-1-picrylhydrazyl (DPPH) activity. Furthermore, the coaxial system was deemed safe for contact with fibroblasts and human keratinocytes, reaching metabolic activities higher than 80 % after 48 h of incubation. Data confirmed the suitability of the engineered system for potential therapeutics of chronic wounds.