Experimentally the spin dependence of inelastic collisions between ytterbium (Yb) in the metastable state and lithium (Li) in the ground state manifold is investigated at low magnetic fields. Using selective excitation all magnetic sublevels mJ of Yb() are accessed and four of the six lowest lying magnetic sublevels of are prepared by optical pumping. On the one hand, mJ-independence of collisions involving Li() atoms is found. A systematic mJ-dependence in collisions with Li() atoms, in particular suppressed losses for stretched collisional states, is observed on the other hand. Further, mJ-changing processes are found to be of minor relevance. The span of observed inelastic collision rates is between and , and a possible origin of the observed behavior is discussed.