We report on resistivity and Hall measurements performed on epitaxial thin films of the weak ferromagnet SrRuO3 under hydrostatic pressure up to 21.4 GPa. In the low pressure range (< 13 GPa), we observe a linear pressure dependence of the Curie temperature with a rate −6KGPa−1 similar to that found in the bulk material. At higher pressures, the hysteretic loop observed in the Hall measurement, related to the magnetization via the extraordinary Hall effect, supports our previous observation concerning the unexpected persistence of ferromagnetic order above 70 K