{v. phr.} 1. To watch the ball at all times in a sport, usually in order to hit it or get it; not stop watching the ball. * /Keep your eye on the baseball or you won't be able to hit it./ 2. {informal} To be watchful and ready; be wide-awake and ready to win or succeed; be smart. * /Tom is just starting on the job but if he keeps his eye on the ball, he will be promoted./ Compare: ON THE BALL, KEEP AN EYE ON or KEEP ONE'S EYE ON or HAVE ONE'S EYE ON.
KEEP ONE'S EYE ON THE BALL
Meaning of KEEP ONE'S EYE ON THE BALL in English
Dictionary of English idioms . Словарь английских идиом. 2012