Hoffenheim striker Anthony Modeste is chasing a move to the Premier League this month.
The Mail on Sunday says Swansea City and West Ham United are considering making offers for the forward.
The 26-year-old had a brief, unproductive loan spell with Blackburn Rovers in 2012 when the club were on the point of relegation.
But he moved to Bastia then Hoffenheim and has averaged a goal every two games. Hoffenheim will sell for £5million this month.
Hull and Crystal Palace are also interested.