We calculate the longitudinal relaxation time T1 for a polarized Boltzmann Image Fermi gas. We show that T1 is independent of polarization of the gas. At high T, where the thermal wavelength a is small compared to the scattering length a, T1 is proportional Image , while at low T, such that λ is greater than a, T1 is proportional to Image . T1 thus has a minimum at some intermediate temperature confirming the numerical results of Shizgal. The existence of the minimum does not depend on the presence of an attractive part of the potential. As an example of the expected temperature dependence we calculate T1 numerically for a hard core gas.