The Leeds United owner has done little to endear himself to Whites fans.
The controversial Italian drove a further wedge between him and Leeds fans this week after the sacking of manager Steve Evans was confirmed.
Evans, who replaced Uwe Rosler, had successfully achieved his remit of steering the club to safety as Leeds finished 13th in the Championship, 19 points clear of danger.
But it was not enough in the demanding eyes of Cellino, whose two years at Elland Road has seen no fewer than six managers dismissed.
Whites supporters would no doubt rejoice if they heard he too had left the club, but Morrison has suggested that the 59-year-old entrepreneur is at Leeds for the long haul.
"I hope they can get back to their former glories, but [they need] the right man and the right chairman – but I think he wants to stay in there", he told Sky Sports, via Inside Futbol.
"Maybe most of these fans if you speak to them I think they don't want him as the chairman, but he's going to stay there and try to do the best.
"Hopefully they get to where they should be because it's a massive club and they've got unbelievable fans."
Former Swansea City boss Garry Monk is expected to meet with Cellino to discuss the prospect of him replacing Evans in Yorkshire soon (The Yorkshire Post).