We present here high-field magneto-photoluminescence experiments on self-assembled InP/GaP quantum dots under high pressure, at cryogenic temperature. We unveil and discuss a very low pressure coefficient (PC) for the direct exciton and the quenching of the strong luminescence at 1.2 GPa. In fact, the magneto-fingerprints, interpreted in the classic Fock–Darwin framework, give access to the evolution of charge carriers confinement and unravel an increase of the exciton effective mass, involved in the low effective PC.