The England Under-17 forward has caught the eye of both London clubs with his displays for club and country youth teams, and the Baggies now face a genuine fight to keep hold of him.
Arsenal have been closely monitoring Brown for over a year now, and the Gunners even made a £1 million bid for the player’s services last summer.
Brown has been spotted by Arsenal head of development Terry Burton, who used to work as coach at the Hawthorns.
However, Chelsea have recently joined the race and they seem ready to offer around £2 for the highly rated youngster.
Despite his fragile age, Brown is already playing for West Brom Under-21 side, and he was even selected on the bench as the Baggies faced Chelsea in the Premier League a couple of weeks ago.