McTominay has enjoyed something of a breakthrough campaign this season for Jose Mourinho's side, making 17 appearances for United in all competitions and being called up to the Scotland squad for the first time.
With Carrick set to retire at the end of the season, McTominay is seen by many as the former West Ham and Spurs man's natural successor and the England international believes that the 21-year-old's hard work and dedication make that a distinct possibility.
"I think it is quite refreshing to look at Scott and see how he deals with it," Carrick told the press ahead of Tuesday's crunch Champions League clash with Sevilla at Old Trafford.
"He goes about his business, he comes in, he is always in doing extra training. He's desperate to do well and he's always looking for those little things to improve on.
"All the glitz and the glamour that can surround young players these days, he doesn't seem too interested in that, which is fantastic especially at this stage of his career.
"It's about making a career, that's how it is. You can't live like you've had a career before you've had the career - you've got to earn it."
Whilst Carrick was quick to add that McTominay hasn't achieved anything yet, he also admitted that the way he has carried himself in his career so far could be fine example to others.
"He's still got some way to go to fully establish himself as a big player for this club but so far he's on a great track, he's given himself the best possible chance to fulfil that," Carrick explained.
"He's a shining example to kids looking up to how you can be within yourself and how you are coping, your body language, mentality. He's done great."