The youngster has emerged as a key player for his club, starting in central midfield since the beginning of the Premier League season.
McTominay will also be hoping to take on more responsibility with Scotland, who have Euro 2020 qualifiers against Russia and Belgium during this international break.
"For myself I've just been concentrating on playing as much football as I possibly can, and learning as much as I can from the coaching staff, both at my parent club and at Scotland as well," McTominay said to reporters.
"It's exciting times for me personally but it's just about keeping a level head and wanting to keep progressing in the way that you're going.
"I feel like we've been unfortunate with some of the results that we've had, and obviously I'm now aware I'm an international and they're the games that I'm solely focused on at this moment in time.
"But at club level we've been unlucky with a few decisions and a few ways that the results of the matches have gone, but as I say it's important for us to get off to a flying start with Scotland as well."