High-spin states in Rh-99 are populated through a fusion evaporation reaction O-16 + Y-89. A comprehensive level scheme with four bands is made on the basis of coincidence studies and DCO ratios. Placements of several transitions are revised and, together with five new transitions detected in the experiment, two new bands are proposed. Two other bands populated in the previous work are confirmed. The configurations of the three quasiparticle band-head states of the new bands are suggested as [pi(g9/2)3] and [pi(g9/2) x nu(h11/2)2].