A general expression of the dynamic surface adsorption [Gamma(t)] on the expanding spherical surface was derived by solving the corresponding diffusion equation under different initial and boundary conditions. Different from the result of the still spherical surface, two factors (smaller than 1) appeared in the equation for the short time adsorption. Using the derived results, the adsorption kinetics of aqueous decanoyl-N-methylglucamine (Mega-10) solution was studied. In the short time region (t -> 0), a good agreement of experimental results with the theory was reached and the adsorption was controlled by diffusion.