Rangers chairman David Murray has told BBC Scotland that he will stick to his word and continue to back manager Alex McLeish, for the time being.
Sunday's 2-1 defeat at Hibs means the Ibrox side have gone eight successive games without a win.
Murray told BBC Sport recently that he would review McLeish's position after the final Champions League group match at home to Inter Milan on 6 December.
And Murray added: "I'll stand by what I said about giving Alex a chance."
The poor run of results is the worst in Rangers' 132-year history and leaves them trailing SPL leaders Celtic by 15 points.
And the defending champions are now 11 points adrift of third-placed Hibs.
However, Rangers can become the first Scottish club to reach the knockout phase of the Champions League.
The Ibrox club sit second in Group H, one point ahead of Artmedia Bratislava and two in front of Porto.
John Macmillan, secretary of the Rangers Supporters' Clubs, also thinks McLeish should be given until the Inter Milan game.
He said: "If you are told that results are disappointing and given a period of time to improve those results then that should be allowed to run its course.
"After the Inter game, the chairman has to come out and make a decision: back McLeish or tell us we will be getting a new manager.
"It would be a very interesting scenario if we won against Inter Milan.
"It would be a tremendous achievement and he (McLeish) would deserve a lot of credit but we have to face reality too.
"I think we have a good chance of reaching the next stage but it's unlikely we are going to win the Champions League so the only way to get back there next season is to finish first or second in the SPL."
Murray's continued backing for McLeish has not prevented newspapers speculating on who the next manager at Ibrox might be.
Charlton's Alan Curbishley, former Hearts chief George Burley, ex-Lyon boss Paul Le Guen and the Motherwell manager Terry Butcher have all been linked with the position.