Tissue engineered scaffolds are necessary to serve as a bioengineered construct to guide cell growth and tissue regeneration. This study examined an electrospinning method as a simple technique for fabricating tissue engineered scaffolds. Electrospun nanofiber webs have a biocompatibility and high surface area. Therefore, they can be used in the biomedical applications. In this study, sodium alginate (SA) nanofibers were electrospun by blending with a biocompatible poly(ethylene oxide) (PEO) and lecithin. Alginate is a natural polymer extracted from marine brown algae and PEO is a synthetic polymer with non-toxicity and biocompatibility. Lecithin was used as a natural surfactant to fabricate the uniform nanofiber. The solution properties of SA/PEO blends were measured, including the viscosity and conductivity. The characteristics of the SA/PEO blend nanofiber were observed by scanning electron microscopy (SEM) and X-ray diffraction (XRD). In addition, the water absorption ability of the SA/PEO nanofibers was evaluated. The SA/PEO blend nanofibers exhibited a good water absorption and structural morphology. The biocompatibility of the SA/PEO blend nanofibers was confirmed by cell culturing. These electrospun nanofibers showed the potential of wound dressing for exuding wounds.