West Brom have told Bakary Sako to lower his wage demands if he wants to move to The Hawthorns.
Highly-rated Atletico Madrid midfielder Saul Niguez has signed a new five-year contract.
The 34-year-old has agreed terms with Blues and passed a medical but the club are waiting on a visa application before a one-month deal is completed.
Former Senegal international Diop, who helped West Ham to promotion to the Barclays Premier League last season, has impressed on trial at St Andrew's.
He has also played in England for Fulham and Portsmouth, with whom he won the FA Cup in 2008.