Smite Rowe was rewarded with an England call-up this week after starring for Arsenal in the Premier League.
The 21-year-old has four goals and two assists in 11 appearances in the league and has been a consistent performer for Mikel Arteta.
He scored the winner against Watford on Sunday and was elevated to the England senior squad by Gareth Southgate.
Former Leeds, Charlton and Man City defender Mills warned that people should not get too carried away after a 'handful of good games'.
He told talkSPORT: "I think he's done well. Obviously there has been one or two injuries and he's been involved in the Under-21s before and he gets a chance.
"He gets an opportunity for Gareth to see him in that situation, how he fits in the senior squad, how he settles in, is he over awed by it, does he just go 'yeah, loving this' and gets straight into it.
"It's an opportunity to have a look at him and a reward for a player doing well.
"He's doing great, but let's not get carried away. He had quite a few cameo appearances last season, he didn't start straight away when he came in.
"A lot of that was in the Europa League in the early stages. This season, he has had a handful of good games."