A process of producing a non-sticky nanofibrous membrane includes pouring dimethylformamide (DMF) and dichloromethane into a first flask pouring about 1 to about 40 wt % of polycaprolactone (PCL) into the first flask to prepare a PCL solution therein keeping the first flask in a predetermined temperature wherein volumetric ratio of DMF and dichloromethane is 1:9 to 9:1 pouring hyaluronic acid (HA) into a second flask to prepare an HA solution having 1.75 wt % of HA and activating an electrospinning technique to process the PCL solution in the first flask and the HA solution in the second flask, thereby producing an NFM having a core and a shell.