Kenny Miller insists the Rangers players will be giving their all next term, despite it being Walter Smith's final season in charge.
The Rangers boss put an end to speculation over his future by signing a one-year deal this week, as well as confirming he would then retire at the end of season.
His pronouncement has echoes of Sir Alex Ferguson's, when the Scot revealed he would step down as Manchester United manager at the end of the 2001/02 season, only for the Red Devils' form to then plummet.
But Scotland striker Miller insists it is wrong to draw parallels between the two situations, telling the News of the World: "There's no way we will slip into bad ways next season just because we know the gaffer is leaving.
"What happened at Manchester United when Sir Alex Ferguson did something similar is Manchester United's business. It has got nothing to do with us.
"There's no way the kind of quality players United have would ever down tools - and we're the same. As far as I'm concerned, there is absolutely no comparison between the two situations."
Miller believes that knowing that assistant manager Ally McCoist will succeed his mentor has taken away any uncertainty at the club.
He added: "By publicly stating his long-term plans, Walter has taken away any element of doubt.
"There is no uncertainty about the future. Ally McCoist will become Rangers manager when Walter goes, so there's not going to be any major upheaval. We have plenty of time to get our heads round this.
"Ally has worked with the gaffer for the last five years for club and country and has learned a great deal from him. He also knows his methods inside out.
"If we had no idea who was coming in to replace Walter Smith, there may have been a problem but we know exactly what the bigger picture is now."