Forsberg has played a key role in Leipzig's rise in German football, with 15 goals being scored in 70 appearances for the Bundesliga outfit in all competitions.
Roma are looking for a wideman after missing out on Malcom to Barcelona, and although Forsberg has hinted that he is willing to listen to any offers, the Sweden international instead intends to focus on his current club.
The 26-year-old told Bild: "Roma want me? I'm flattered by the interest of the clubs who want me. I'm aware of it. For the moment, however, I'm only focused on Leipzig."
Forsberg has also been linked with a summer switch to Premier League club Everton.