The ex-Light Blues skipper lead by example during his five-year spell in Glasgow, assuming the armband from Barry Ferguson and going on to lead Walter Smith's side to a series of league and cup triumphs with distinction.
Since the 42-year-old's departure in January, Steven Davis and Carlos Bocanegra have both assumed the honour of captaining the Gers.
Now, it is McCulloch's turn to be the main man as he leads Ally McCoist's men on their journey through the Scottish football ranks, and Weir is in no doubt his former team-mate has all the credentials for the job.
He said: "I am absolutely delighted that Lee is now the Rangers captain but, if I'm being honest, he had been doing the job for long enough anyway. Even when I was there Lee was always on my shoulder and helping me.
"He is the kind of lad that people talk to and he is a great person to have in your squad.
"In many ways he's always been like an unofficial captain so I think it's a great appointment by Ally.
"First of all Lee will enjoy it and make the most of it. I'm sure it will have given him a massive lift at this stage of his career and it will also benefit the team having someone, like Carlos Bocanegra, who has that level of experience wearing the armband.
"I think Lee's a natural for the job. He has the respect of the other players and he says what he thinks, he is honest which is important.
"People trust him and they also listen to him as well. Lee will relish being the captain and, as I've said already, he made my job easier when I was at Rangers.
"If anyone had a problem he would chat to them and then come to me.
"So he was a massive help and I'm delighted for him. He'll take the role very seriously because he knows the history of the club and what it means. He'll do a very good job."
While McCulloch's influence in the dressing-room is significant, it is on the field where he is perhaps most important to McCoist and Rangers.
After refusing to join the plethora of players who walked away in the summer, the former Scotland international has been a figure to rally behind as supporters have taken him closer to their hearts than ever before.
Rangers may have struggled to adapt to life in the Irn-Bru Third Division, but McCulloch has emerged as arguably their top performer thus far, netting 10 goals in just 12 appearances this term.
He may be in the twilight of his playing days but Weir, now forging a career as a coach with Everton, knows McCulloch's presence is crucial for Rangers this season.
He said: "Even although Lee is 34 he still has a lot of game time left in him yet and we've already seen that this season.
"You can see he doesn't want to play anywhere else, he wants to play for Rangers and his performances this season have been excellent, or so he keeps telling me.
"But Lee's capable of getting goals and that has always been the case. He's an excellent finisher and wherever he has played he has been a goal threat. If the ball drops to him in the box you always fancy him to score.
"On top of that he can strike it from distance and he's very strong in the air, in fact that is probably one of his best attributes.
"He attacks the ball well, a perfect example was his header in Lyon in his first season. A header at Parkhead also sticks out and I'm sure there have been many more."
McCulloch may lead the Ibrox scoring charts but he has once again shown his versa- tility, stepping into a number of roles with aplomb already this season.
With resources tight, McCoist has little scope to shuffle his pack, making McCulloch's varying talents all the more crucial.
Weir said: "I think he's now played everywhere for Rangers and it shows what a quality player he is. It's hugely beneficial for the club to have an experienced player with that versatility.
"Whether he is asked to play in defence, midfield or attack Ally will know that Lee will always put in a great shift because he sets high standards for himself. I'm not surprised he has scored so many goals this season and I've no doubt he will keep it going.
"Lee is aggressive but he is also clever and knows the game. He gets into good positions and can bring his team-mates into play.
"After most games I'm sure he is bruised and battered because he throws himself into challenges. I've certainly had a few battles with him in training but, thankfully, I usually came out on top!"