The predissociation of the O2B (3) Sigma(u)(-) state (v=0-11) is investigated using fast beam photofragment translational spectroscopy. The energy resolution of the experiment, 7-10 meV, is sufficient to yield the correlated fine structure distribution P(j(1),j(2)) for the two O(P-3(j)) fragments. These spin-orbit branching ratios depend markedly on the vibrational quantum number, providing detailed insight into a relatively unexplored facet of molecular dissociation dynamics. No less than four repulsive states are expected to mediate the predissociation of the B (3) Sigma(u)(-) state, primarily via spin-orbit coupling, and the couplings among these states at long range (R similar to 5-7 Angstrom) determine the final spin-orbit distributions P(j(1),j(2)) We have attempted to model these distributions in both the adiabatic and diabatic limits, with neither limit proving very successful. A more phenomenological approach to fitting our data suggests that products with j(1) = j(2) = 2 result from single transitions between adiabatic potentials at long range, whereas the populations in the other product states are determined by multiple transitions among the repulsive states.