Competitive absorption processes, i.e. condensation, of water and essential oils (EO) are predominantly controlled by extent of condensation of diffusing water and EO molecules with marginal influence of porose ligno-cellulosic matter and a sort of EO. With increase of absorption the diffusion is depressed and vice versa. Diffusion of water molecules through porose system is usually slower in comparison with other molecules. It was discovered that a presence of EO decreases paper web humidity with increasing influence in environment with high relative air humidity. Likely, fast diffusing EO molecules decrease the ability of water molecules condensed in all accessible pores particularly in the non-penetrable pores.