unsleeping

1. (figuratively) Remaining constantly alert.Examples: "Did you fixedly gaze, too, upon that ribbed and dented brow; there also, you would see still stranger foot-prints—the foot-prints of his one unsleeping, ever-pacing thought."; "Captain Kennedy, who is the Commodore of the fleet, and so always commands the newest and best ship of the line, is an admirable seaman, with a quick eye for everything, always on deck at critical moments, watching with unsleeping vigilance over the safety of all on board."; "An unsleeping eye watches the steam pressure and steadily regulates the firing much more economically and patiently than the most experienced fireman."figuratively