Previous work on individual differences has revealed limitations in the ability of existing measures (e.g., working memory) to predict language processing. Recent evidence suggests that an individual's sensitivity to detect the statistical regularities present in language (i.e., “chunk sensitivity”) may significantly modulate online sentence processing. We investigated whether individual chunk sensitivity predicted the online processing of gender cues, a core linguistic feature of Spanish. In a self‐paced reading task, we examined native speakers’ processing of relative clauses in which gender cues (...) were variably exploited to induce processing costs. Even after considering the effect of working memory and cognitive control, the results revealed a significant effect of chunking ability in modulating online sentence processing. Critically, higher‐chunking ability speakers’ reading times showed online sensitivity to core linguistic cues online; while low‐chunking ability readers showed no sensitivity to manipulations, indicating shallow real‐time processing of their native language. (shrink)