Molecular bond-softening and above-threshold dissociation of H-2+ and D2+ in intense laser fields is reexamined using 160 fs pulses of 769 nm light. At intensities greater than approximately 10(13) W/cm2 new features appear in the dissociation spectrum. These are consistent with the formation of trapped population in light-induced vibrational states, formed in the adiabatic potential near the three-photon resonance between the 1ssigma(g), and 2psigma(u) states. Rovibrational structure of such light-induced states appears in the kinetic energy spectra of the ion fragments detected after multiphoton ionization.