The Jambos have been without a manager ever since Craig Levein was given his marching orders earlier this month, when the Edinburgh club were second-bottom of the Premiership – above St Mirren only on goal difference.
Interim boss Austin MacPhee managed to guide Hearts to a 5-2 win last weekend, and as we told you at the time, Ann Budge has already held talks with Jack Ross, Stuart McCall and Steve Cotterill.
And now it seems Irvine is in the running, after the former Norwich City manager was also interviewed by the Hearts hierarchy, according to the Edinburgh Evening News.
Naismith worked with Irvine at Carrow Road, as well as at Everton, and it seems the pair still share a bond – but would Irvine be a shrewd appointment at Tynecastle?
Let us know in the comments section below…