We investigate the decay cascade of the Upsilon(nS) meson including the newly found chi(b)(3P) state in pp and PbPb collisions at LHC energies. The main goal is to quantitatively determine the additional suppression of the Upsilon(nS) states in PbPb collisions relative to pp at LHC energies of root s(NN) = 2.76Tev when the chi(b)(3P) state is included together with the Upsilon(nS) and chi(b)(1P, 2P) states. It is found that the suppression of Upsilon(1S) in PbPb collisions relative to pp is increased by at most 7% through the inclusion of chi(b)(3P), whereas the suppression factors for the Upsilon(2S) and Upsilon(3S) states do not change significantly. Copyright (C) EPLA, 2013