The reactions 13C(7Li,t)17O and 13C(6Li,d)17O have been studied at 17 and 18 MeV, respectively. Both reactions are selective in the states they populate, although this is more evident in the (7Li, t) case. Angular distributions were extracted for 15 levels below 8.5-MeV excitation. These exhibit pronounced structures and are generally indicative of direct-reaction mechanisms. Transitions to the negative-parity states at 3.06, 3.85, and 4.55 MeV are the strongest observed below 7-MeV excitation. These levels are discussed within the framework of the weak-coupling model and the transitions compared with those from the 12C(7Li,t) and 12C(6Li,d) reactions leading to the first K=0 rotational band in 16O. Strong transitions are also observed to levels at 7.38, (8.46, 8.49), (8.87, 8.95), and (9.14, 9.20) MeV.