Neutron-diffraction measurements have been carried out as a function of hydrostatic pressure to study the magnetic order of the Cu spins in NdBa2Cu3O6.35 and NdBa2Cu3O6.1. In the high-temperature phase, where the Cu planes order antiferromagnetically, we find that the Néel temperature TN1 is very strongly dependent on pressure, increasing at the rate of 1/423 K/kbar. We attribute this phenomenal sensitivity to the two-dimensional-like behavior of this magnetic system. In the low-temperature phase, which is associated with magnetic ordering of the chains, only a small change in the ordering temperature TN2 is observed. © 1989 The American Physical Society.