The promising 18-year-old has made one senior appearance for Chelsea but his contract expires at the end of the season and he could leave Stamford Bridge.
Manchester City are arguably Chelsea’s biggest rival at academy level and they are keen to poach Soonsup-Bell.
Many English and European clubs are also looking at the forward, who joined Chelsea as an Under-13 from Swindon Town and made his senior debut against Brentford in the Carabao Cup last season.
Soonsup-Bell also scored the winner in the Under-18 Premier League Cup Final against Fulham at Craven Cottage last season.
Chelsea currently expect to lose their talented forward, who is regarded as a top talent. Midfielder Charlie Webster could also leave Chelsea after refusing several contract offers.
The 18-year-old is a mainstay of Chelsea’s Under-23 team and one of the most exciting talents when in possession.
Chelsea signed two teenage midfielders in Carney Chukwuemeka and Cesare Casadei for a combined fee of over £30million in the summer which could block his pathway.
They joined alongside teen midfielder Lewis Hall, who is excelling at academy level this season, having started for Chelsea in the FA Cup against Chesterfield last term.