We compare the self-energy and entropy of a two- and three-dimensional Fermi Liquids (FLs) using a model with a contact interaction between fermions. For a two-dimensional (2D) FL we find that there are T[sup 2] contributions to the entropy from interactions separate from those due to the collective modes. These T[sup 2] contributions arise from nonanalytic corrections to the real part of the self-energy and areanalogous to T[sup 3]lnT contributions present in the entropy of a three-dimensional (3D) FL. The difference between the 2D and 3D results arises solely from the different phase space factors