However, Big Sam has suggested that the young defender will have to work hard to achieve his goals after breaking into the Hammers side over the last couple of weeks.
He started the 1-0 win against Burnley last weekend, building on his impressive debut in the match against QPR.
“Reece Burke has done very well for us. He’s still a very young man and he’ll only get better,” said Allardyce.
“The harder he works, the better he’ll get. It’s great for him and his family, they’re all West Ham fans so they’ll be delighted.”
Allardyce is a manager who will make sure he works hard and understands what’s required from any player in the first team at Upton Park.
The West Ham squad also has experienced players who will keep him grounded such as James Collins playing next to him in the back four, as well as the likes of Mark Noble and Kevin Nolan playing further forward.
He’s coped well against two sides battling for position at the wrong end of the Premier League table, but the big challenge will be how he gets on against an established attack from one of the bigger teams.
If he can play well when he’s forensically examined by a world class striker, that will be the best indication of whether he’s got what it takes to follow the key Hammers centre backs of the past, but he’s definitely off to a good start.