We report the pressure dependence of the Néel temperature T N up to P ≈ 27 GPa for the recently discovered itinerant antiferromagnet (IAFM) TiAu. The T N ( P ) phase boundary exhibits unconventional behavior in which the Néel temperature is enhanced from T N ≈ 33 K at ambient pressure to a maximum of T N ≈ 35 K occurring at P ≈ 5.5 GPa. Upon a further increase in pressure, T N is monotonically suppressed to ∼ 22 K at P ≈ 27 GPa. We also find a crossover in the temperature dependence of the electrical resistivity ρ in the antiferromagnetic (AFM) phase that is coincident with the peak in T N ( P ) , such that the temperature dependence of ρ

ρ 0 + A n T n changes from n ≈ 3 during the enhancement of T N to n ≈ 2 during the suppression of T N . Based on an extrapolation of the T N ( P ) data to a possible pressure-induced quantum critical point, we estimate the critical pressure to be P c ≈ 45 GPa.