Methods and systems are provided for reducing vacuum at an outlet of an upstream first compressor when powering on a second compressor positioned downstream of the first compressor. In one example, a method may comprise, in response to a desired engine torque increasing above a threshold: powering on a second compressor positioned downstream of a first compressor in an intake of an engine system, and opening a compressor recirculation valve (CRV) positioned in a bypass passage coupled across the first compressor for a duration. As such, a portion of intake gasses from upstream of the first compressor may be routed to the second compressor.