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At low temperatures T, the filled skutterudite CeOs₄Sb₁₂ is a heavy-fermion compensated semimetal. It also exhibits a ~1 K Spin-Density-Wave (SDW) phase and has been suggested to possess topologically protected states. Penetration depth and resistivity measurements reveal a Fermi-surface reconstruction in CeOs₄Sb₁₂ with an unusual temperature T vs magnetic field H phase diagram that is associated with a valence transition [1,2]. In this report, we present the influence of pressure on the electronic properties and T-H phase boundaries of the valence transition and the SDW. Refs: [1] K. Götze et. al, PRB 101, 075102 (2020). [2] P.-C. Ho et. al, PRB 94, 205140 (2016).