Few studies have investigated the extension of the technology acceptance model (TAM) of mobile-assisted language learning (MALL) by incorporating psychological influence factors. We aimed to determine the factors affecting the continued adoption of MALL by college-age students of English as a foreign language (EFL). We extended the TAM by adding psychological constructs from action control theory and the concept of intrinsic motivation. Data from a large-scale survey of 557 Taiwanese college EFL students recruited through online convenience sampling were analysed through structural equation modelling. The results revealed that the significant predictors of behavioural intention were its antecedents. Three crucial psychological factors, namely nonpreoccupation, nonhesitation, and nonvolatility, significantly predicted behavioural intention. Perceived ubiquity value, tasks, and mobile self-efficacy were strong predictors of intrinsic motivation. Intrinsic motivation significantly predicted behavioural intention through perceived usefulness and perceived ease of use. Finally, perceived ease of use had a moderate effect on behavioural intention through perceived usefulness. The satisfactory explanatory power of the extended model was indicated by the explained variance (R[superscript 2]) of 80% for behavioural intention. This extended TAM may contribute to the long-term development of MALL.