High-pressure Xe-129 NMR experiments have been performed by using a newly designed probe. Xe-129 NMR spectrum for the mixture of Xe and a polymer, either bisphenol-A polycarbonate or polytetrafluoroethylene, consists of two lines in a pressure range of 0.3-10 MPa. Xe-129 NMR chemical shift (delta) for the free Xe is mainly governed by the Xe-Xe interactions. delta for Xe confined in the micropore of polymers is strongly affected by the Xe-wall interactions. It is found that delta of the confined Xe is mainly determined by a sort of 'virtual pressure' and is not influenced by a drastic change of the free Xe density in the critical region.