We used the FUSE (Far Ultraviolet Spectroscopic Explorer ) satellite to observe O VI emission along two sight lines toward the edge of the interaction zone (IZ) between the Loop I superbubble and the Local Bubble. One sight line was chosen because material in the interaction zone blocks distant X-ray emission, and should thus do the same for nonlocal O VI emission. We measured an O VI intensity of Ishad = 2750 +/- 550 photons cm-2 s-1 sr-1 along this "shadowed" sight line, and Iunshad = 10,800 +/- 1200 photons cm-2 s-1 sr-1 along the other sight line. Given these results, very little (lesssim 800 photons cm-2 s-1 sr-1) of the emission arises from the near side of the interaction zone, which likely has an H I column density of about 4 × 1020 cm-2 along the "shadowed" sight line. The O VI emission arising within Loop I (~104 photons cm-2 s-1 sr-1) is probably associated with gas of ne ~ 0.1 cm-3 and an emitting path length of ~2.5 pc, suggesting it arises at interfaces rather than from gas filling Loop I. In contrast, the C III emission is similar along both sight lines, indicating that much of the emission likely arises on the near side of the interaction zone.Based on observations made with the NASA-CNES-CSA Far Ultraviolet Spectroscopic Explorer. FUSE is operated for NASA by the Johns Hopkins University under NASA contract NAS5-32985.