  We report the effect of hydrostatic pressure on the magnetotransport
properties of the Weyl semimetal NbAs. Subtle changes can be seen in the
$\rho_{xx}(T)$ profiles with pressure up to 2.31 GPa. The Fermi surfaces
undergo an anisotropic evolution under pressure: the extremal areas slightly
increase in the $\mathbf{k_x}$-$\mathbf{k_y}$ plane, but decrease in the
$\mathbf{k_z}$-$\mathbf{k_y}$($\mathbf{k_x}$) plane. The topological features
of the two pockets observed at atmospheric pressure, however, remain unchanged
at 2.31 GPa. No superconductivity can be seen down to 0.3 K for all the
pressures measured. By fitting the temperature dependence of specific heat to
the Debye model, we obtain a small Sommerfeld coefficient $\gamma_0=$ 0.09(1)
mJ/(mol$\cdot$K$^2$) and a large Debye temperature, $\Theta_D=$ 450(9) K,
confirming a "hard" crystalline lattice that is stable under pressure. We also
studied the Kadowaki-Woods ratio of this low-carrier-density massless system,
$R_{KW}=$ 3.2$\times 10^4$ $\mu\Omega$ cm mol$^2$ K$^2$ J$^{-2}$. After
accounting for the small carrier density in NbAs, this $R_{KW}$ indicates a
suppressed transport scattering rate relative to other metals.
