Hutton was outstanding for Scotland in Friday's 0-0 draw with Lithuania.
And former Everton defender Weir said: "Alan is an incredible player going forward. He has attributes going forward that not many players in the world have.
"If we have him channelled the right way he's a great asset. He's a fit lad - naturally fit - and we've all seen that in the past.
"To think how little football he has played and then to see him come in and put in a performance like that, from the first minute to the last, says a lot about his natural fitness.
"It also tells you everything about the condition he keeps himself in.
"It's a great credit to him. It's a fantastic attribute to have."