Resurgence of problem behavior following the discontinuation of differential reinforcement of alternative behavior (DRA) may be prevented by response‐independent reinforcer delivery. In basic research, response‐independent reinforcer delivery following DRA prevented resurgence of the initially reinforced response and maintained alternative responding (Lieving & Lattal, 2003, Experiment 3). We evaluated the generality of these results by assessing if fixed‐time (FT) reinforcer delivery following DRA would prevent resurgence of problem behavior and maintain appropriate behavior with 4 children with disabilities. For all participants, extinction following DRA produced resurgence of previously reinforced problem behavior and reduced appropriate requests, but FT reinforcer delivery following DRA mitigated resurgence of problem behavior and maintained appropriate requests.