Anderson was named on the bench for Friday's win at Crystal Palace.
"He's been with us now for two - three weeks with the problems that we've had and, certainly, in the two - three weeks, he's flourished," Bruce told reporters.
"We think there's a player in there. He's still got a lot of work to do, of course, but we're quietly pleased with him and he was on the bench, which I'm sure he'll remember for a long time.
"I'm delighted with his progress. Let's not get carried away too quickly because, as I said, he's still got a long way to go but certainly he's a talented boy."