The Daily Mail says West Brom are eyeing an end of season move for Kawashima.
The 28-year-old, who plays for Belgian club Lierse, helped his country make the last 16 in South Africa - conceding just two goals in four games.
He also impressed during the pre-World Cup friendly against England when he saved Frank Lampard's penalty but was eventually beaten by two own goals.
Lierse technical director Herman Helleputte said: "West Brom asked if we'll discuss a move for Kawashima. We said he can go if they make us a good offer."