A device for centering and guiding at least one drill bit of a dental handpiece when drilling a hole in the jaw of a patient in cooperation with a surgical guide equipped with a tubular drill bushing. A support holds a tubular guide sleeve permanently in a coaxial and sliding position with respect to the drill bit. The tubular guide sleeve is able to engage with slight play in the tubular drill bushing. The support insures the engagement of the guide sleeve in the tubular drill bushing at the latest when the drill bit starts to drill in the patient's jaw, thus insuring the centering and guiding of the drill bit.
