Deila has confirmed that he has since spoken with Desmond and while that conversation will remain private, he reckons he has the trust of the board.
“Honesty is the most important thing in whatever you are doing. No-one goes through life without doing good jobs and bad jobs.
And Deila has also maintained that he will get Celtic into the Champions League, if he is given time.
He said: “I don’t think a very smart person is judging only on results. People who succeed in life judge progress in many ways.
“This club is one of the best-driven clubs in the world. We’re developing young players, we’re taking in players and developing them and selling them for a lot of money and we win so many titles in Scotland.
“If you want to be negative, you can have it in that way (judged on Champions League), but for me it’s much more than one thing.
“I think we’re going to be in the Champions League when I’m the manager. Now, I think, we are closer. Next year, hopefully, we get a new chance.”