Timothy’s dad, George Weah, who is the current president of Liberia, enjoyed a five-year stint with AC Milan in the 1990’s.
George won two Serie A titles with the Rosonerri as well as the only African recipient of the coveted Ballon d’or while at the San Siro.
Timothy currently stars for French champions Lille but has outlined plans on how his playing trajectory could pan out in the future.
"Of course I am focused on Lille, but it has always been my ambition to one day play in a great league like Serie A and, in particular, for a big club like Milan, which is part of my family history after all," the 21-year-old told La Gazzetta dello Sport's Sportweek.
"[My dad] never talks about it openly, but when I was a child, there was the idea of playing for the Rossoneri's youth teams. Things went differently, but maybe I'll arrive at Milan anyway.
"Things go so fast in football, and you never know."
Timothy helped Lille win the Ligue 1 title last season but has not found the back of the net in 19 top flight appearances this season.