Humans show a remarkable ability to understand continuous speech even under adverse listening conditions. This ability critically relies on dynamically updated predictions of incoming sensory information, but exactly how top-down predictions improve speech processing is still unclear. Brain oscillations are a likely mechanism for these top-down predictions 1, 2. Quasi-rhythmic components in speech are known to entrain low-frequency oscillations in auditory areas 3, 4, and this entrainment increases with intelligibility 5. We hypothesize that top-down signals from frontal brain areas causally modulate the phase of brain oscillations in auditory cortex. We use magnetoencephalography (MEG) to monitor brain oscillations in 22 participants during continuous speech perception. We characterize prominent spectral components of speech-brain coupling in auditory cortex and use causal connectivity analysis (transfer entropy) to identify the top-down signals driving this coupling more strongly during intelligible speech than during unintelligible speech. We report three main findings. First, frontal and motor cortices significantly modulate the phase of speech-coupled low-frequency oscillations in auditory cortex, and this effect depends on intelligibility of speech. Second, top-down signals are significantly stronger for left auditory cortex than for right auditory cortex. Third, speech-auditory cortex coupling is enhanced as a function of stronger top-down signals. Together, our results suggest that low-frequency brain oscillations play a role in implementing predictive top-down control during continuous speech perception and that top-down control is largely directed at left auditory cortex. This suggests a close relationship between (left-lateralized) speech production areas and the implementation of top-down control in continuous speech perception. •Frontal top-down signals modulate low-frequency oscillations in auditory cortex•Top-down signals are stronger for left auditory cortex than for right auditory cortex•Speech-auditory cortex coupling is enhanced as a function of top-down signals Park et al. provide new insights into the role of low-frequency oscillations in top-down control during continuous speech processing. They demonstrate causal top-down signals from frontal and motor areas largely directed at left auditory cortex. Speech-auditory cortex coupling is enhanced as a function of stronger top-down signals.