Besic has been strongly linked with both Middlesbrough and Leeds United throughout the day so far, but West Brom are also in the race.
Darren Moore’s side reportedly believe that Besic could be a solid addition to their midfield ranks, as they look to strengthen their squad.
The Baggies have not made the most auspicious of starts to life in the Championship, after picking up just one point in their first two games.
West Brom are now on the hunt for more additions, to give Moore even more quality to pick from.
And Besic is said to be on a name on their wishlist, with Everton looking to sell.
The Bosnian appears to have little future at Goodison Park, with a move to the Championship this summer looking almost certain now.