Near-lattice-matched GaN/AlInN multiple quantum wells (MQWs) are investigated by means of the diamond anvil cell high-pressure technique. The hydrostatic pressure dependence of the photoluminescence dE _PL /dp and the variation in the PL peak energy with the QW width for different pressures were measured. Taking into account the influence of a large Stokes shift on the correct determination of the built-in electric field value, we find that the electric field, equal to 4.2±1.1 MV / cm at ambient pressure, increases with pressure at a rate of 0.29 MV /( cm   GPa ) . This value is in reasonable agreement with the theoretically predicted value, based on nonlinear elasticity, of 0.17 MV /( cm   GPa ) . Interestingly, the observed behavior is very similar to strongly mismatched GaN/AlGaN QWs with a similar band offset, indicating that in GaN/AlInN QWs there is still a pressure dependence of piezoelectric effects, in spite of ambient-pressure lattice matching.