Species redistributions are one of the most prevalent changes observed in oceans worldwide due to climate change. One of the major challenges is being able to predict temperature-driven changes to species interactions and the outcome of these changes for marine communities due to the complex nature of indirect effects. In the ocean-warming hotspot of south-east Australia, the ranges of many species have shifted poleward. The range of the eastern rock lobster <i>Sagmariasus verreauxi</i> has extended into warming Tasmanian waters inhabited by the resident southern rock lobster <i>Jasus edwardsii</i>, which may lead to increased competitive interactions between the species. Using video monitoring, we investigated how the 2 species compete for food at current (18°C), future (21°C) and future heatwave (24°C) summer temperatures. Behavioural competition occurred in 80% of experiments, during which <i>J. edwardsii</i> won 84% of competitive interactions and showed more aggressive behaviour at all temperatures. This indicates that resident <i>J. edwardsii</i> is not only more dominant in direct food competition than the range-shifting <i>S. verreauxi</i> but, surprisingly, also sustains competitive dominance beyond its physiological thermal optimum under predicted future ocean warming and heatwave scenarios. <p></p>