According to a report from Football Insider, West Ham have made Broja their top target for the summer, and they are keen to lure him to the London Stadium.
The Irons want to sign a striker this summer, with their only option up front being Michail Antonio, especially with Andriy Yarmolenko leaving following the expiration of his contract.
While their list of targets features numerous other targets, David Moyes and recruitment chief Rob Newman have Broja at the top of their list, with him offering a completely different option up as a striker to Antonio.
Newman went over to the St Mary's Stadium in January to watch Broja, with the Albanian scoring in 4-1 win for Southampton over Brentford.
Moyes is a big admirer of the forward, particularly of his pace, mobility and sharpness in front of goal, and feels that he has plenty of potential to develop.
West Ham are set to test Chelsea's resolve, especially since Broja's future in his parent club's first-team is uncertain, with it still being unclear whether the likes of Romelu Lukaku and Timo Werner will stay at Stamford Bridge.
There is plenty of competition for Broja's services, with several Premier League clubs having their eyes on the 20-year-old.
Chelsea are unlikely to sell him given he still has four years left on his contract, and so a loan move seems to more probable option, unless a club offers a huge fee for him.
While Broja's numbers might seem underwhelming, given he scored just nine goals from 38 games this season, 14 of those appearances did come from off the bench, and his overall performances for the Saints were brilliant, even when he didn't get on the scoresheet.