The notion of Mowbray returning to the Hawthorns to negotiate deals is all the more fanciful given the well documented stubbornness of chairman Jeremy Peace and the issues surrounding Tony's departure from Albion.
"A lot of managers do go back to their old clubs for players because they know them, but whether I do that or not we will wait and see," Mowbray said. "It's never easy to get players and, if West Brom have players they don't want to lose, I'm sure they won't be going anywhere."
Will he at least test the water, though, as part of his rebuilding work? "I don't think its right to answer that," he added. "I haven't seen the players here yet and I will make my real assessments on the training ground."
Tony did confirm that he has informally discussed the future of a couple of the three West Brom players who are actively seeking a move to Glasgow with the players, albeit at the player's request.
"I have spoken to one or two of the players who have been in contact with me.
I think I had a strong working relationship with all my players and that was reflected in their commitment and endeavour on the field.
"It's not a bad thing if players are disappointed when a coach leaves because it shows the strength that the team and the club has got.
"The job for the next manager is to try to build on that and develop it. When I first arrived a lot of players had a loyalty to Bryan Robson and you have to build your own bridges and stamp your own personality on the situation and the challenge for the next guy is to develop his own relationships."
Mowbray was also quick to apologise to the West Brom supporters on his departure. After the romantic scenes witnessed when the Albion support applauded Mowbray and his players off the field of play despite the fact that they had been relegated Tony offered a brief yet sincere attitude to his departure.
"I hope the supporters understand the reasons for me leaving and don't think I've jumped at the first chance that came along. I would hope I've got more substance than that," he said.
"Whether I could have given the same commitment and desire to win every game next season, after the events of this season, was questionable. I balance it with a very clear conscience. I hope they all enjoyed the journey for 2 years because I know I did."
As did many of us who tuned into Match of the Day to see the plucky bottom of the table side attempt to play football against the giants of the Premiership rather than revert to type and attempt to contain the often unshackle-able talents of the likes of Drogba, Rooney, Ronaldo and Gerrard.
Yours in Celtic
Clydebuilt