The Scottish champions had a bid for the 23 year old rejected on Thursday, with their boss Ally McCoist saying the club had yet to decide whether to table another offer.
McInnes said: "He possesses the attributes needed to forge a top career for himself. I'm his biggest fan so you won't get any arguments from me on that one.
"Selfishly, as a manager, I want to have him in my team. He is an important player for me and he has been for the last two years.
"When we took him from Livingston, I always felt that he was a player who would improve and that's been the case.
"He has got better and better. He's a fantastic boy to work and he's going to have a good career."
McInnes added: "If Rangers have the same opinion of him as I have, they will come back with a bigger offer.
"As it stands just now, the offer has been made and rejected and we move on.
"Until there is another offer - if there is another offer - I'm just concentrating on working with Murray this season and he is the exact same.
"Who knows what will happen. A lot of clubs have shown interest in him and I'm sure that will continue."