Duncan Watmore started in Sunderland's last match before the international break against Southampton.
Watmore has come into first-team contention this season, and he started in Sunderland’s most recent match against Southamton.
Although the youngster was not able to stop the Black Cats from falling to a defeat in that match, there are still high hopes for his future at the Stadium of Light.
And Borini said: “Duncan is a good young player that has come in from the academy.
“It is always good to have young players. I had it myself at Chelsea.
“It is not my position to judge how he played [against Southampton], but he is a good pro and in training he is very good.
“More competition is always good, but I’m not scared of it.”
Watmore started to break into Sunderland’s team under Dick Advocaat’s guidance, and Allardyce has been keen to give him chances since taking charge.
The former Altrincham winger came off the bench in Sunderland’s 6-2 defeat to Everton, and his impressive performance in that cameo was enough to earn him a start last weekend.
Watmore will now be hoping to hold down his place in the Sunderland line-up, when the North East outfit return to action after the international break.
The Black Cats return to action with a tricky away contest against Crystal Palace, as they look to close the four-point gap to safety, that has already formed.