The Scot has been linked with Celtic since stepping down at Ewood Park.
Celtic are currently on the lookout for a new manager with plenty of names being mentioned as possibilities in the past few weeks.
Many of these names have links to the club – such as former players David Moyes and Roy Keane and boyhood fan Brendan Rodgers.
Another such player is Paul Lambert. He played for Celtic for eight years before joining Livingston in 2005.
The 46-year-old recently stepped down from his role as manager at Blackburn Rovers – activating a release clause in his contract in order to do so.
This has seen him immediately linked with the Celtic job but his assistant at Blackburn Rovers is not sure that Lambert would be keen.
“Obviously Paul’s got great links with Celtic but I don’t know whether this is the time he would choose to go there.
“I know how well he speaks about the club, as do others that have been there, the likes of David (Moyes).
“It may well be that Paul’s got other ideas, to stay in England. I’m not sure.”
It certainly appears then that Irvine believes Lambert wants to remain in England next season, rather than head home to Glasgow.
Celtic fans were mostly divided on the idea of Lambert coming in. Fans of his work with some of the club’s he has managed and not forgetting his Celtic heritage were keen to see him come on board. Others remembered just how unpopular he became at Aston Villa.
As far as Irvine is concerned however it makes no difference, as Lambert will not be heading to Celtic.