In this paper we use self-consistent field theory to study the adsorption of diblock copolymers onto small colloidal particles. The particles are modeled as spheres and the assumption is made that the adsorption parameter of the adsorbing segments is independent of the particle curvature. We find that the adsorbed amount per unit of surface area increases with increasing curvature. The hydrodynamic layer thickness decreases greatly with increasing curvature. The root-mean-square layer thickness does not vary much when the curvature changes.