Under the Interface Hypothesis, bilinguals’ non-nativelike referential choices may be influenced by the increased cognitive demands and less automatic processing of bilingual production. We test this hypothesis by comparing pronoun production in the L2 of nonbalanced Spanish–English bilinguals to that of English monolinguals in two cognitively challenging contexts. In Experiment 1, both monolinguals and bilinguals produced more explicit references when part of the information was unavailable to their addressee (privileged ground) than when all information was shared (common ground), evidencing audience design. In Experiment 2, verbal load led to more unspecified references than visual load and no load (an effect statistically indistinguishable between groups but numerically driven by the monolingual group). While bilinguals produced overall more pronouns than monolinguals in both experiments, there was no indication that bilinguals’ referential choice was disproportionally affected by increased cognitive demand, contrary to the predictions of the Interface Hypothesis.