The topological defects in the liquid crystalline mesophase around a spherical droplet were investigated using molecular dynamics (MD) simulations. The droplet radius was increased from a small value in systems in the nematic state. Director configurations were prepared in the nematic state with the defect embedded in them. The approximate analytical expressions were used for the director field around the droplet. Results showed that only a Saturn-ring defect was stable in the case of a small droplet.