In a strong laser field (I = 2 GW/cm 2) TII is dissociated by a two-photon process and the T1 fragment is detected state specifically. The yield of T1 6p 2P3/2 (TI*) is measured as a function of the dissociation wavelength (480 nm-540 nm). If the dissociation wavelength is close to two-photon transitions of the T1 atom from 6p 2P3/2 to np 2p1/2,3/2 or mf 2F5/2,7/2, l,~= 10 ... 15, m=7 ... 12 dips in the yield are observed. These dips show a significant asymmetric broadening, compared to a free atomic transition and the observation is interpreted as an absorption process of the transient state of dissociating TII during the laser pulse. By applying the Landau-Zener approximation for the potential crossing of dressed molecular states, we are able to describe the broadening and the power density dependence of the observations. Simulations show that the asymmetry is determined by the difference potential of the electronic states which are coupled by the laser field.