Crystal Palace, West Ham and Aston Villa have all made enquiries for Wissam Ben Yedder, the Guardian reports.
The three Premier League sides are interested in the Toulouse striker, but have been rebuffed by the player.
He is unwilling to leave the Ligue 1 side this month, with Toulouse sitting in 19th place after 22 games. The forward wants to ensure their survival in the top flight before searching for an adventure in a different division - likely the Premier League.
All three of Palace, Villa and the Hammers want to sign a striker, and 25-year-old Ben Yedder looks like a wise option.
He has scored 13 goals in 24 games this term for Toulouse, which is made all the more impressive as he is playing in a poor team fighting relegation.
The former French youth international has spent his entire professional career with Toulouse, scoring 61 goals in 157 games for the side.
He is out of contract in the summer of 2017, and a transfer this summer looks increasingly likely.
Although he does not want to leave this month, Ben Yedder wants to be playing in a team with European ambitions for the foreseeable future, rather than a relegation threatened side.
The Eagles and West Ham are sure to retain their interest in Ben Yedder heading into the summer transfer window, although Villa’s chances of signing the forward will depend upon their own Premier League safety this season.