The perturbative accuracy for bottomonium observables has recently been extended to next-to-next-to-next-to-leading order. Assuming the hierarchy $\Lambda_\text{QCD}\ll m_bv^2$ holds, non-perturbative effects take the form of local condensates. I determine higher-order corrections in this approach and assess its validity by studying the convergence of the series. In particular, the non-perturbative effects on the determination of the bottom-quark mass from the bottomonium spectrum and sum rules are discussed.