Hammers boss David Moyes will surely be looking to strengthen his options during the January transfer window, with his side currently deeply embroiled in a relegation battle, having taken just 10 points from their opening 15 Premier League outings.
One particular area where the Scot will want to bolster is his forward department, with his side having scored just 13 Premier League goals this season, and the likes of Andy Carroll and Javier Hernandez proving to be unreliable from a fitness perspective.
West Ham will have to act fast, however, with the Daily Mail reporting that the Seagulls are preparing a £20 million January bid for the 21-year-old striker.
The Frenchman joined Celtic from Fulham in the summer of 2016, and has really impressed at Parkhead, scoring 40 goals in 65 appearances for Brendan Rodgers' side.
Dembele possesses all of the attributes that the Hammers currently lack. He is incredibly quick, competent at making well-timed runs in behind the opposition's defence, and is a lethal finisher.
The Hoops ace would undoubtedly offer West Ham something different in the final third, and he would be a superb signing for the east London outfit, especially for just £30 million, which could be made to look like mere pocket change in today's market.