In dual tasks, with a visual-manual choice reaction time task in Task 1 and a go/no-go task in Task 2, not responding to Task 2 can have adverse effects on Task 1 performance, as demonstrated by no-go backward crosstalk effects (no-go BCE). Here, the response inhibition required to not respond to Task 2 spills over and slows response execution in Task 1. Over three experiments, we investigated whether prospect of reward, which is a potent cognitive control modulator, influences the no-go BCE. In Experiment 1, reward for fast and accurate responses in both tasks was modulated as a within-subject and in Experiment 2 and 3 as a between-subject factor. The results revealed three major insights. In all three experiments, reward led to faster Task 1 and Task 2 performance. Secondly, despite this speeding, the no-go BCE was not modulated by reward. And finally, reward led to more errors in Task 2 no-go trials. These results reveal a reward-induced bias for action, suggesting better preparedness to respond and, consequently, larger commission errors in Task 2 no-go trials. The absence of a reward-based modulation of the no-go BCE indicates either that the reward-induced bias for action does not necessarily translate into larger response inhibition or that reward increases protection of Task 1 processing from increased Task 2 interference. These findings point towards the complex interactions between reward and inhibitory control and shed light on the potentials and limitations of reward-based modulation of dual-task interference.