Previous studies of the interaction between the rotation-vibration levels of the 1s sigma(g) and 2p sigma(u) electronic states of H-2(+) have focussed on explaining the large hyperfine structure observed in some rovibronic transitions between these electronic stales. The interaction is an ortho-para interaction between levels of the two electronic states and it gives electric dipole intensity to forbidden rotation and rotation-vibration transitions within each electronic state. We determine the transition moments and Einstein A factors for the most significant of these transitions and point out their relevance to the problem of observing interstellar H-2(+).