  We prove an upper bound on the pressure of a dilute fully spin-polarized
Fermi gas capturing the leading correction to the pressure of a free gas
resulting from repulsive interactions. This correction is of order
$a^3\rho^{8/3}$, with $a$ the $p$-wave scattering length of the interaction and
$\rho$ the particle density, depends on the temperature and matches the
corresponding lower bound of [arXiv:2307.01113].
