Altermagnets exhibit momentum-dependent spin splitting without net magnetization, combining characteristics of both ferromagnets and antiferromagnets, making them highly interesting for spintronics applications. CrSb is a prime candidate with a high N & eacute;el temperature (similar to 700 K) and a large exchange-driven splitting of similar to 0.6-1 eV. Using ab initio calculations, we consider slabs of various orientations in the ultrathin limit. In (0001)-oriented slabs, the exchange-driven altermagnetic spin splitting collapses, but including spin-orbit coupling restores a residual anisotropic splitting of similar to 70 meV. The (100)-oriented slabs become fully spin degenerate due to symmetry reduction. In contrast, the (110)-oriented slabs show a strong altermagnetic spin splitting of similar to 400 meV, and thus emerges as a robust candidate for realizing large, exchange-driven altermagnetism.