Having spent eight years in the Premiership himself with Everton, Weir has little doubt that Hutton has the ability to play at that level.
But the veteran centre-half believes there is plenty of time for Hutton to demonstrate just how far he can go in the game.
"He's a great player, there is no getting away from that," said Weir.
"From the moment I came here I've been very impressed by him. Obviously people will take notice of that, it's the nature of the game.
"But I don't think Alan is in any rush to leave and I think he enjoys it here. It's a great club to be at and a great place to play your football.
"He's a young man and he has his future ahead of him. I'm sure his career will map out the way he plans it."
And, although £8million has been touted as the asking price for the highly-rated full-back, Weir believes Rangers would be unwilling to part with their prize asset just yet.
He added: "I can't imagine Rangers are in a rush to sell their best players, I don't think that's conducive to winning the league which is everybody's goal. Time will tell on that one."