We report extensive collisional orientation transfer in V-type double resonance polarization spectroscopy of the A1Σ + u ∼ b 3Πu complex of Rb2and Cs2. Using this technique, in the Cs2 case, we were able to observe a gap region in the A∼b complex with poor Franck Condon factors (FCF) with the ground state. Since spectral congestion makes it difficult to find isolated pump transitions for a heavy molecule such as Cs2, this technique allows us to observe many more rotational levels for each vibrational level than the customary strong ∆J= ± 1 transitions. For probe transitions with very small FCF values we were able to observe angular momentum change with ∆Jmax = 12, while in an analogous study of the Rb2 A ∼ b complex of states, for transitions with larger FCF values, the maximum observed angular momentum change of the collisional satellite lines was ∆Jmax = 58. Although collisional satellites lines were observed in polarization spectroscopy previously at a much higher pressure of several hundred Torr, our experiments were done at 1 Torr pressure without any loss in resolution.