The brain exploits acoustic temporal regularities in the environment to enable prediction of the timing of future events and to optimize sensory processing and behavior. Periodic sensory inputs have been shown to entrain oscillatory brain activity. But to what extent is this entrainment mechanism instrumental to temporal prediction and under top-down control? The current study addresses these questions by investigating whether the brain can use a cue to predict the precision of a beat, thereby exerting flexible endogenous control via neural entrainment according to the precision needed in the given sensory context. Using sound cues, we informed participants about the acoustic shape (sharp or smooth) of the upcoming target sound, thus inducing two alternative levels of predicted temporal precision: high or low. Participants were asked to detect the delay of a target sound relative to a series of preceding isochronous sounds that were physically constant across all conditions. The results show that the information of the cue modulated the prediction of beat precision. Pre-target beta (15-25 Hz) power, as well as beta and alpha (8-12 Hz) phase locking, was enhanced if the listener predicted a target sound with a high compared to a low temporal precision. Interestingly, pre-target beta power correlated positively with behavioral performance in the delay-detection task but negatively with the variability of the perceptual center (P-center) of the sounds, demonstrating the tight relation between beta oscillations and perceptual temporal precision. This study provides new insight into the predictive processes underlying entrainment to different levels of temporal precision during beat perception and shows for the first time that these processes are in fact under top-down control.