  We investigate the pressure dependence of the upper critical fields
({\mu}$_0$$H$$_{c2}$) for FeSe single crystals with pressure up to 2.57 GPa.
The superconducting (SC) properties show a disparate behavior across a critical
pressure where the pressure-induced antiferromagnetic phase coexists with
superconductivity. The magnetoresistance for $H//ab$ and $H//c$ is very
different: for $H//c$, magnetic field induces and enhances a hump in the
resistivity close to the $T_c$ for pressures higher than 1.2 GPa, while it is
absent for $H//ab$. Since the measured {\mu}$_0$$H$$_{c2}$ for FeSe samples is
smaller than the orbital limited upper critical field ($H$$^{orb}$$_{c2}$)
estimated by the Werthamer Helfand and Hohenberg (WHH) model, the Maki
parameter ({\alpha}) related to Pauli spin-paramagnetic effects is additionally
considered to describe the temperature dependence of {\mu}$_0$$H$$_{c2}$($T$).
Interestingly, the {\alpha} value is hardly affected by pressure for $H//ab$,
while it strongly increases with pressure for $H//c$. The pressure evolution of
the {\mu}$_0$$H$$_{c2}$(0)s for the FeSe single crystals is found to be almost
similar to that of $T_c$($P$), suggesting that the pressure-induced magnetic
order adversely affects the upper critical fields as well as the SC transition
temperature.
