The phrase "gaze sweeping" is correct and can be used in written English.
It is typically used to describe someone looking around a space or environment, taking in their surroundings with their eyes. Example: As she entered the room, her gaze sweeping over the elegant furnishings and the gathered guests in their formal attire.
He cast a sweeping gaze upon the institution he had graduated from two decades earlier.
Lingering on a word and then sweeping one's gaze to the right margin calls up a definition.
Their resonance is magnified as you gaze out the windows onto sweeping views of a pond and the adjoining wildlife refuge.
As an American who votes, let me assure both Mr Dionne and Mr Obama that if all the latter did was "fix the economy"—that if he were to do so without sweeping rhetoric or strong gazes seaward or the soundtrack to "The West Wing" playing in the background that would be fine with me.
A gaze that has him looking left, then sweeping over your face, then looking right is a sign he's very attracted to you.[2].
Practice casually sweeping the room with an observant gaze.
Hillary Clinton crushed hopes of a Bernie Sanders surge on a night of sweeping wins that saw her shift her gaze to the prospect of a bitter battle for the White House with Donald Trump.
Anyone who's spent even a little time in the mountains has pictured it: You're a couple hours into your hike; panoramas of sweeping valleys and jagged cliff lines consume your gaze.
I remember an aura of discomfort sweeping over my body as I started to shiver and gaze at the sky above me.
His entrance is suitably dramatic, sweeping into the room unannounced to fix each performer in turn with a gimlet-eyed gaze.
His ear protectors dwarfed his head as he gazed wide-eyed through the window of the Russian-built UN helicopter that lifted into the sky, sweeping over lush plains and thick forests.
