Birmingham are locked in a battle with Albion to secure the signature of Chris Perry.
The 33-year-old was released by Charlton in the summer and would fit the bill perfectly for Steve Bruce, who is actively seeking an experienced centre-half.
He missed out on David Weir when the 36-year-old signed another 12-month deal with Everton.
They have also tabled a #1.5 million bid for Calum Davenport, but face competition for Albion over his signature as well.
However, Bruce admitted that he is actively seeking an experienced head at the heart of his defence to counter balance the injection of youth he has brought in the form of Cameron Jerome, Neil Danns and Stephen Kelly.
"We are looking to bring at least one more player in and we are in discussions as we speak," admitted Bruce.
"We expect, or hope, to do something in the next couple of days."
Albion, however, are also in pursuit of an experienced central defender to partner Curtis Davies. Perry previously played for Wimbledon, Tottenham and Charlton and is understood to be weighing up his options.
Bruce, meanwhile, has rubbished talk that wants Rangers midfielder Hamed Namouchi.