Bilingual speakers have been consistently observed to experience reduced emotional sensitivity to their non-native (L2) relative to native (L1) language, particularly to the negatively-valenced L2 content. Yet, little is known about how the L1 and L2 contexts physiologically influence bilinguals’ affective states, such as moods. Here, we show that bilinguals may be less physiologically sensitive to mood changes in the L2 compared to the L1 context. Polish–English bilinguals operating in either the L1 or the L2 mode (elicited via reading L1 and L2 sentences) watched positive and negative mood-inducing films while their electrodermal activity was measured. We observed a greater number of skin conductance responses in the negative compared to positive mood condition in the L1 context only, indexing decreased sensitivity to mood changes in the L2 relative to the L1 mode in bilinguals. Also, skin conductance amplitudes were overall increased in the L2 compared to the L1 context, pointing to increased cognitive load when operating in L2. These findings together suggest that bilinguals experience decreased sensitivity to mood changes in their less dominant language due to L2 processing requiring greater cognitive engagement.