This disclosure proposes systems and methods enabling on-device/hybrid processing of speech requests using a hub device. The hub device is capable of receiving audio data from surrounding devices and performing speech processing on the audio data to improve latency and/or provide functionality to other devices within a private network. The hub device may receive multiple requests corresponding to different utterances. If the hub device receives a second utterance while processing a first utterance, the hub device may send an error notification, process the first utterance and the second utterance sequentially, suspend processing of the first utterance to process the second utterance first, send the second utterance to another hub device or remote system, or suspend processing of the first utterance and send the first utterance to the remote system in order to process the second utterance.