When considering hurricane intensity, one often neglected aspect of warm ocean eddies is the preexisting anticyclonic circulation in the eddy that exists due to the geostrophic adjustment of the density and velocity fields. Depending on the translation speed of the hurricane and the location of the eddy relative to the storm track, this anticyclonic circulation may impact the location and magnitude of the hurricane-induced sea surface cooling. Using a version of the Princeton Ocean Model, axisymmetric hurricane wind stress (plus asymmetry to account for storm translation speed) is applied to an initial ocean condition in which the SST is homogeneous, but an ocean eddy is embedded in an otherwise horizontally-homogeneous subsurface temperature field. One significant result from these model simulations indicates that when a warm ocean eddy is located to the right of the storm track, the interaction of the preexisting eddy circulation with the hurricane-induced cold wake can cause increased sea surface cooling under the core of the storm relative to the case where no ocean eddy is present at all. Therefore, the presence of a warm ocean eddy in advance of a hurricane may in some cases create a less favorable condition for hurricane intensification.