Speaking to Keys & Gray this morning, the AC Milan legend revealed how the 13-year-old attacker has been given the opportunity to show what he can do, training with the Premier League club's youth academy.
"He is talented," said Weah. "We just wanted to give him the opportunity and we also want him to enjoy the game he has passion for.
"I brought him to Chelsea just for a trial and for a different experience."
The ex-Liberia international enjoyed a brief loan spell at Stamford Bridge himself, where he helped Chelsea lift the FA Cup in 1999/2000.
He immediately endeared himself to Blues fans with a debut Premier League goal against London rivals Tottenham Hotspur, and also found the net in matches against Liverpool and Wimbledon, before signing for Manchester City that summer.
However, Weah says that his fondest memories of life in England are during his playing days at Chelsea, a club that he still has contact with, and will forever hold a special place in his heart.
"When I left London, I kept ties with Chelsea and when my son wanted to come to England to play, the first person I called was my daddy, Gary Staker [the club's liaison officer].
"Gary made it happen and Timothy is enjoying it. He has started training already and he is happy."