Celtic have made five summer signings so far, bringing goalkeeper Logan Bailly, defenders Dedryck Boyata and Saidy Janko, midfielder Scott Allan and striker Nadir Ciftci.
However, one position which has yet to be strengthened is left back, a position that Celtic boss Ronny Deila has been attempting to resolve all summer.
The deteriorating performances of long-term first choice left back Emilio Izaguirre mean that Celtic need another player to come in and challenge the Honduran international - and whilst youngster Kieran Tierney has offered some competition, Deila has had no luck in the transfer market.
Now, the Evening Times report that Celtic are monitoring West Brom left back Pocognoli ahead of a possible move for the former Belgian international.
The 28-year-old joined West Brom from Hannover last summer, but after making 15 Premier League appearances last season, Pocognoli became frozen out under Tony Pulis at The Hawthorns.
The report states that Pocognoli has been made available for a modest fee, which could present Celtic with a bargain, especially for a player with experience in the Bundesliga, Premier League and on the international stage.
Pocognoli could be the ideal signing to put pressure on Izaguirre, and possibly take over from the Honduran if Celtic can lure him up to Scotland after a tough spell with West Brom.