The 49-year old Glaswegian, currently the third-longest serving Premier League manager with over 10 years at Goodison Park, is happy with his current role but Weir suggests he may aspire to lead his nation at some stage.
"He probably won't be interested at this stage of his career, primarily because I know how much he enjoys working day-to-day with his players and how much importance he places on that," former Scotland star Weir said.
"With Scotland you don't get the opportunity to go out and work every day.
"I can't put words into his mouth but I'm sure that's a big part of it for him.
"But I'm sure he would love to manage the national team one day. Who wouldn't?
"It's just not right for him at this stage of his career, because he'll feel he has so much to do at club level.
"He definitely would be the ideal person. Whether circumstances are right 10 years down the line, who knows? But he's definitely qualified."