The Magpies are expected to bring in new recruits following their return to the Premier League, although Hughton is working on a limited budget and is wary of disrupting the harmony in his squad.
Wright-Phillips has been linked with a move to St James' Park as he continues to discuss a contract extension at City, where first-team football has not always been guaranteed.
But Hughton, who has admitted an interest in Arsenal's Jack Wilshere, has dismissed the speculation and will not be making an approach to City.
The Newcastle boss said in the Manchester Evening News: "As far as Shaun Wright-Phillips is concerned, he is not one who will be coming here.
"Shaun is in contract negotiations at the moment and it is normal for him to be linked with other clubs."