The former Gers manager finally agreed a pay-off with Light Blues chairman Dave King on Wednesday - nine months after he was placed on garden leave by the club’s former ruling regime.
The Ladbrokes Championship outfit were happy to see the issue resolved after McCoist - who had continued to pocket his £15,000-a-week salary during his notice period - agreed to terminate his contract on terms “favourable to the club”.
But even now that the long-running saga has been put to bed, Englishman Warburton sees little point turning to McCoist to pick his brains.
The club’s record all-time scorer was left to pick up the pieces following Craig Whyte’s disastrous reign when Rangers were forced to reform in the Third Division following their liquidation meltdown.
Former Brentford manager Warburton, though, says the circumstances he is working under are totally different.
Asked if he planned to call McCoist now that his contract issue had been sorted and quiz him on his years of experience with Rangers, the one-time City of London trader said: “Not at all. And it’s no disrespect - far from it.
“I’ve never met Ally but I know the magnificent career he has had.
“But from my point of view I have come in here with a clean slate. Not being arrogant, I’ve got a lot of experience myself in my different walks of life, so I know what I want to do here and what I want here.
“I’m very comfortable with what I’ve done here and the people I’ve spoken to. Maybe it’s good to speak to different people outside of the club.
“Sometimes you always speak to the same people inside of the club and you get the same answers so it’s good to listen to different opinions.
“I haven’t spoken to Ally but that’s not because of a lack of respect.”
King flew back into Scotland earlier this week ahead of the club’s latest board meeting.
He also held a series of interviews with the media, where he confidently declared that Gers are on course for promotion back to the top flight this season.
However, the South Africa-based businessman did concede the club was five players short of being able to topple Celtic once they do regain their Premiership slot.
Warburton - whose side will hope to rack up their 10th successive win against Livingston at Ibrox on Saturday - agrees with King’s assessment, but insists any new recruits must be better than the players he already has.
“We’ve had great support and got the players we wanted, so the squad is in great shape,” he said.
“It’s about us continuing the work and preparing hopefully for the next level if we achieve our targets.
“We’ve got a number of players who I’ve no doubt will compete at the higher level.
“But any squad going through January but more so during the summer period will need to add three, four, five quality additions. But they have to be quality. It’s not more of the same. If we take a player they have to give us something we don’t currently have.”