David Moyes is tipped to be one of the contenders to replace Roberto Martinez at Everton.
Irvine worked as Moyes’ assistant at Everton between 2005 and 2007, and he also was employed as a youth coach by the Scottish boss.
The pair share a good relationship, but Irvine says that Moyes has not discussed the possibility of returning to Everton with him.
“Well, he’s not told me anything,” Irvine said, when asked whether Moyes would return to Everton.
“I think it’d be a great fit. Everton is a number nine club. The past greats, a lot of them are number nines and that’s the type of football that the fans crave at this particular time.
“If Roberto isn’t there, then I’d love David to be back there.”
Moyes is touted as a potential replacement for Roberto Martinez, with the Spanish boss coming under huge pressure at Goodison Park.
Moyes enjoyed great success at Everton prior to moving to Manchester United back in 2013, and there have been calls from supporters for him to return.
Frank De Boer and Ronald Koeman are also considered potential new managers for Everton, with Martinez's time surely coming to an end.
Martinez has faced growing calls for him to be sacked after Everton’s poor performance this season.