Solvent transport of aromatic hydrocarbons through both crosslinked and uncrosslinked poly(ethylene-co-vinyl acetate) (EVA) membranes has been studied using sorption gravimetric analysis. EVA was crosslinked by using dicumyl peroxide (DCP). Diffusion through membranes containing different loading of DCP was also carried out to follow the effect of crosslinking density on diffusion. It was found that as the extent of crosslinking increases the equilibrium uptake decreases. The dependence of transport process on the size of the penetrant and temperature was also investigated. Arrhenius activation parameters for the process of diffusion, sorption and permeation have been estimated. Also, thermodynamic quantities like enthalpy, entropy, and free energy change have been calculated. The molecular mass between crosslinks of the network polymer were calculated using Flory Rehner theory. Both first order and second order kinetics models were used to investigate the transport kinetics; A correlation between theoretical predictions and experimental results was also done. The transport phenomenon was found to follow the anomalous mode at 28 degrees C and it approaches non-Fickian at higher temperatures.