We consider the calculation of the longitudinal relaxation time T1 in a polarized Fermi system at temperatures T ranging from the degenerate statistics regime to the Boltzmann limit. We include the possibility of arbitrary polarization M of the system. While the low temperature unpolarized system behaves as T-2 as previous calculations have shown, when relaxation takes place in zero external field, polarization leads to substantially smaller values of T1 at low T, because of the opening up of the phase space between up and down Fermi spheres. For the degenerate system T1 is dependent on the value of M in contrast to results in the Boltzmann case.