Moxey is leaving his role as Wolves' supremo in the wake of the club's takeover by Chinese conglomerate Fosun International after 16 years at Molineux.
Norwich have moved quickly to agree a deal for experienced negotiator Moxey as they seek a replacement for David McNally, who resigned from his role at Carrow Road in May.
McNally quit his role at Norwich just before the end of last season with the club on the brink of suffering relegation from the Premier League after seven years in the job with the club.
Norwich chairman Ed Balls has been leading the hunt to bring in a new chief executive and it is understood that the club have opted to make a move to appoint Moxey.
Moxey oversaw two promotions to the Premier League at Molineux and he has a wealth of experience having held the same role at Stoke City prior to his move to Wolves.
Moxey's arrival at Norwich is set to be confirmed in October after he helps oversee the transition period at Wolves with the club's new owners.