The skipper is in the final year of his current Gers contract, but Ally McCoist has already indicated his desire to keep his captain beyond next summer.
That news was welcomed by McCulloch on the back of Lee Wallace, Lewis Macleod, Robbie Crawford and Barrie McKay all committing their long term futures to the club.
However Jig knows he’s unlikely, at 34, to be handed a similar five year deal!
He said: “That would be great news for me. I'd love to stay for another year anyway.
“I know I’m getting on a bit so I'm not expecting a five year deal!
“It would be great but as far as I’m aware talks haven't started yet, but I would be keen to talk.
“It's good to hear that the manager thinks I could be here for another season.”
However despite his senior role in the squad, McCulloch insists he doesn’t feel any extra responsibility to improve the club’s current position.
He added: “I think everyone in the dressing room has a responsibility, along with the coaching staff and the manager, to get the club back.
“I'm just here to play my part. I don't see myself having a different role from anyone else.
“I'm maybe a little bit more experienced than some of the boys and they know that if any of them need help with anything I'm happy to give them that.”