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It is commonly agreed that electron-phonon interaction in crystalline organic semiconductors suppresses charge-carrier mobility: interaction with high-frequency (HF) intramolecular vibrational modes leads to polaron band narrowing, while low-frequency (LF) phonons destroy bandlike motion of charge carriers via dynamic disorder. Correspondingly, in most charge transport calculations, either HF or LF channel is considered. We show, however, that, quite surprisingly, when the two effects are taken together, HF, polaronic effects can ‘damp’ the LF dynamic disorder, in some cases even improving the mobility properties. We discuss the interplay between polaron band narrowing and disorder damping in the language of current correlators, including a case study of naphthalene diimide derivatives, and show that, in principle, it opens up a new strategy of tuning the dynamic disorder in high-mobility organic semiconductors by intramolecular effects.