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We selectively create p-wave Feshbach molecules in the m_{l}=\pm 1 orbital angular momentum projection state of ^{6}Li. We use an optical lattice potential to restrict the relative momentum of the atoms such that only the m_{l}=\pm 1 molecular state couples to the atoms at the Feshbach resonance. We observe the hollow-centered dissociation profile, which is a clear indication of the selective creation of p-wave molecules in the m_{l}=\pm1 states. We also measure the dissociation energy of the p-wave molecules created in the optical lattice and develop a theoretical formulation to explain the dissociation energy as a function of the magnetic field ramp rate for dissociation. The capability of selecting one of the two closely-residing p-wave Feshbach resonances is useful for the precise characterization of the p-wave Feshbach resonances.