Recent evidence shows that, contrary to what is commonly assumed, people who are pressured to think fast are also less likely to provide a heuristic judgment when heuristic and logical considerations point to conflicting answers in a conjunction fallacy task (Vallée-Tourangeau & Faure-Bloom, under review). The present study explores this finding using an eye-tracking methodology. Eye movements from 41 participants were recorded while they read a thumbnail description and made a judgment on a statement comparing the probability of a single-event and that of a conjunctive event. Results showed participants focused more on the comparative probability statement under logico-heuristic conflict while they focused more the task description in the absence of conflict. Additionally, longer judgment latencies predicted higher rates of heuristic responding, which contradicts the original dual-process assumption that heuristic thinking in conjunction fallacy tasks is fast.