Chronic skin injuries represent a relevant health problem that affects millions of people worldwide. The development of new therapeutic approaches and dressings can improve the wound healing process. Babassu oil has healing and antimicrobial properties, among others. Thus, this work aimed to develop two biodegradable membranes with Poly (Lactic acid) (PLA) polymer and babassu oil, one using the solvent casting technique, which is an easy technique to produce polymer films, and the other using electrospinning, for the treatment of wound healing. Also, the characterization of membranes was performed using scanning electron microscopy (SEM), X-ray diffraction (XRD), low field Nuclear magnetic resonance (NMR), water uptake ability, water vapor transmission rate (WVTR), cytotoxicity, in vitro wound-healing assay, and the antimicrobial test. The characterization assays showed that the PLA monolithic fibers presented an average diameter of 1015 ± 108 nm, the PLA/babassu monolithic fibers had an average diameter of 959 ± 139 nm. The PLA membranes obtained by solvent casting presented a structure with few pores, and PLA/babassu membranes obtained by solvent casting showed many pores. The randomly oriented nanofibers of PLA obtained by electrospinning have a typical amorphous structure. All membranes presented one well-defined domain in low filed NMR analysis, and it can be interpreted as the membrane`s homogeneity. Finally, the PLA/babassu electrospun membrane is a good option for wound dressings because showed a recommended value of WVTR, maintained a humid environment above the wound, had good cytotoxicity, stimulated the keratinocytes migration, and inhibited Pseudomonas aeruginosa growth.