The United chief sacked less than a month ago and then reinstated met Cellino for the first time since that controversial sacking on January 31st and said that pair had held a "good discussion".
Cellino had previously tried to get rid of McDermott in place of close friend Gianluca Festa, but the move was blocked by current owners GFH and the former Reading boss was re-instated by the end of what proved to be a whirlwind weekend for the Yorkshire club.
Attempts have been made since by both McDermott and Cellino to make amends and it now appears they are closer to doing so, after a recent meeting, with McDermott saying: "We had a good discussion. It was fine. We talked about football because he's a football man. We talked about what he's done in his career and talked about what I've done. We talked about football a lot."
Doubts remain over McDermott's future at the helm however, as when asked about the security of his role at the club, the Leeds boss said: ""I didn't ask for any assurances, it's not something I'd ask any owner for. I'll work to the best of my ability every day, that's all I can guarantee. My staff do the same and so do the players.
"I've never once asked for assurances and I wouldn't from any owner." McDermott added.