The Light Blues hierarchy are on the ropes after the departure of chief executive Craig Mather and directors Ian Hart and Bryan Smart in recent weeks.
With multi-millionaire businessman McColl's backing, Murray and three shareholders - former chairman Malcolm Murray, Scott Murdoch and Alex Wilson - are attempting to win places on the Gers board.
And Rangers Supporters Association chief Roberton, below, urged the group to spell out their vision for the future after McColl's TV appearance yesterday.
He said: "They need to give the fans something more and put a really strong message across.
"The board knocked themselves out recently and Mather was finished after Paul Murray's court win. But I would've liked Mr McColl to have given the fans something new and have one final push. I don't think Mr McColl revealed anything new in that interview.
"I appreciate there has to be a certain amount of confidentiality.
"I would seriously doubt that there are any fans that don't believe that change is necessary.
"I have no doubt that they are in it for the benefit of Rangers as opposed to themselves.
"At the moment, Jim McColl and the requisitioners are the only show in town.
"But I wouldn't like to think they are going along on that basis and because they are the only alternative to the current board."
McColl's rare public appearance came hours after Rangers began the search for Mather's replacement as CEO.
The businessman confirmed former Liverpool supremo Christian Purslow is interested in a role at Ibrox, but Roberton doesn't expect the position to be filled in the near future.
He said: "We need experienced, qualified people running the club and Christian Purslow certainly fits that bill. The advert has gone out for a new chief executive, are the board going to appoint someone before the AGM?
"Who in their right mind would apply for the position at the minute with the turmoil that is still going on and the AGM still to be held?
"Why have the club advertised it now? Mr Stockbridge and the Easdales must believe they have enough support from the shareholders and that they will still be there in the long-term.
"But I would doubt they will be inundated with applications, and from the type of people that the fans want on the board, while the turmoil is ongoing at the club."