Marine prey and predators will respond to future climate through physiological and behavioural adjustments. However, our understanding of how such direct effects may shift the outcome of predator-prey interactions is still limited. Here, we investigate the effects of ocean warming and acidification on foraging behaviour and biomass of a common prey (shrimps, Palaemon spp.) tested in large mesocosms harbouring natural resources and habitats. Acidification did not alter foraging behaviour in prey. Under warming, however, prey showed riskier behaviour by foraging more actively and for longer time periods, even in the presence of a live predator. No effects of longer-term exposure to climate stressors were detected on prey biomass. Our findings suggest that ocean warming may increase the availability of some prey to predators via a behavioural pathway (i.e. increased risk-taking by prey), likely by elevating metabolic demand of prey species.