The former Celtic captain has taken over as caretaker until the end of the season and a successful conclusion to a difficult campaign could land him the job full-time. He spent seven years as a player at Parkhead before returning as first-team coach. Most recently worked as reserves coach under Mowbray.
Another ex-skipper, Lambert has said he has no desire to return as manager after winning every domestic honour there. But success at Wycombe, and now Norwich City, means he could find himself targeted by his old club.
Tipped as a candidate for the job when Gordon Strachan quit last summer, McGhee also boasts a spell as a player in the east end of Glasgow in the 1980s. Has, though, had a tumultuous time at Aberdeen this season.
A high-profile career as both a player and manager would satisfy the Hoops faithful's desire to see a big name installed in the hotseat.
The 69-year-old former Scotland boss has enjoyed startling success since making his return to management with Motherwell earlier in the season. However, an outside bet, the veteran is unlikely to be considered a long-term option for the Glasgow giants.
McCarthy's managerial credentials are impressive and he looks set to keep Wolves in the Premier League after guiding them to promotion last season. Has the experience for the job and two years as a player there means he has knowledge of the club.
Keane remains highly popular at Parkhead and would be near the top of Celtic's wish list if available -- which may yet happen if he parts ways with Ipswich at the end of the season.