A bounded linear operator T on Banach space X is subspace convex-cyclic for a subspace M if there exists a vector x ∈ X such that Co(orb(T, x)) ∩ M is dense in M. We construct examples of subspace convex-cyclic operator that is not convex-cyclic. In particular, we prove that every convex-cyclic operator on the separable Banach space X is a subspace convex-cyclic operator for some pure subspace M of X.