The 19-year-old, who was turfed out of Manchester United last season following a number of off-field problems, has started to show glimpses of his potential after a loan move to St Andrews.
"It's nice to see he has overcome those early problems he suffered by not playing," said Allardyce.
"We bought him for development. So first-team football now until the end of the season hopefully will give him enough experience.
"So he can learn to put that ability into the game on a regular basis. A player is always much better when he is in the team as well.
"Hopefully he will have the determination to continue playing in the side."