We consider the Hopfield model of size N and with p tN patterns, in the whole high temperature (paramagnetic) region. Our result is that the partition function has log-normal fluctuations. It is obtained by extending to the present model the method of the interpolating Brownian Motions used in [10] for the Sherrington-Kirkpatrick model. We view the load t of the memory as a dynamical parameter, making the partition function a nice stochastic process.