Italian news organisation Sky Italia claims Roma coach Rudi Garcia is eager to bring in competition for current first-choice Federico Balzaretti.
And Ghoulam, who has been linked with United within the last month, may be set to leave his French club in the January transfer window.
French newspaper Le 10 Sport suggests Ghoulam will become a top target for many clubs as the winter window approaches after a stellar start to the season in Ligue 1.
He's become a key player for the French outfit, but Le 10 Sport claims he's edging towards an exit.
Upon hearing of the links with United last month Ghoulam said it was "flattering" to be associated with a "big club" like Manchester United.
The Algerian international has scored once and provided two assists in ten appearances for St Etienne this season - and according to whoscored.com, he's been their best player.