We have used inelastic neutron scattering to determine the magnetic susceptibility chi(q,omega,T) of the non-Fermi-liquid compounds UCu(5-x)Pdx (x = 1,1.5) for energies omega between 0.2 and 2 meV, and for temperatures T between 1.6 and 250 K. Spatial correlations in both UCu4Pd and UCu 3.5Pd1.5 extend over length scales comparable to the unit cell, and display very little temperature dependence. In contrast, the wave vector independent susceptibility diverges as T-->0. We find that the excitations at all q, and for all T and omega accessed display the same type of non-Fermi-liquid omega/T scaling.