The direct collisional energy transfer process Li*(3p) + H-2 --> Li*(3s) + H-2 is investigated under gas cell conditions. In particular, we measured the nonreactive far-wing absorption profile of LiH2 complexes by monitoring the Li(3s)-->Li(2p) fluorescence at 812.6 nm. Strong satellite structures are observed at around 700 cm(-1) in the blue wing and 162 cm(-1) in the red wing of the LiH2 profile. The experimental results are in agreement with ab initio theoretical predictions, which showed a strong probability of a diabatic transition making the 3p-3s quenching easy.