In type-II multiferroics ferroelectricity is driven by magnetism, and the coupling between the two orders is generally larger than in conventional multiferroic materials. However, a critical problem that needs to be overcome for type-II multiferroics is that their polarization is far too low to be useful for applications. In this Rapid Communication, a group of researchers from Osaka University, Japan, demonstrate that in three prototypical manganites (TbMnO, DyMnO, and GdMnO) magnetic field can induce giant changes in polarization under high pressure. In the gadolinium compound, the change they have observed reaches the record high value of 1.3 C/cm among the spin-driven multiferroics.